Meanwhile Kray, on his way to Stokach, had reached Engen before the arrival of Moreau. In this position his troops, numbering about forty-five thousand men, faced south with their left at Engen and their right extended towards Zollhaus. Moreau soon arrived with the reserve. His forces, counting the two brigades on his right detached from Lecourbe's corps, numbered about forty thousand men. At once Moreau began the battle. Fiercely and desperately the French and Austrians fought for several hours, but neither gained a decided advantage. Finally, late in the day, St. Cyr, who had received orders from Moreau to hurry forward from Zollhaus, arrived and began an attack upon the right of the Austrians, which caused them to give way. But this attack was made too late to produce any decisive result. The Austrians, though forced at last to yield, were not crushed; in fact, Engen was little more than a drawn battle. But, during the night, Kray, having learned of the capture of Stokach, began to fear that Lecourbe would push forward, seize Mosskirch, and sever his communications with Ulm. He therefore decided to retreat. Leaving a rear guard to hold Moreau in check, he directed his forces upon Tuttlingen, Liptengen, and Mosskirch. At the battle of Engen each side lost in killed, wounded, and captured, about seven thousand men. Kray now determined to unite as many of his troops as possible at Mosskirch, and there to make a stand against the French, who were pushing eagerly forward towards Ulm. Already he had sent word to General Starray and General Kienmayer to descend the left bank of the Danube, and join him at the earliest possible moment. On the 4th of May Moreau directed his own corps and that of Lecourbe on Mosskirch; St. Cyr arrived at Geisingen; and Ste. Suzanne, who had been forcing his way through the Black Forest, was at Donaueschingen. On the following day Kray, having been joined by the remnants of his reserve, beaten at Stokach, took position at Mosskirch with forty thousand men. His right was at Tuttlingen, about twelve miles distant; but Kienmayer and Starray were beyond supporting distance on the north side of the Danube. On this day Moreau attacked Kray with fifty thousand men, and, after hard fighting, succeeded in forcing the Austrians back towards Sigmaringen. But Kray did not retire far. Being anxious for the safety of the Austrian troops at Tuttlingen, he halted, formed line of battle, and with the right of his line strongly re-enforced, attacked the French and drove them from the Tuttlingen-Mosskirch road. This success opened his communications with the Austrians at Tuttlingen, and enabled them to join him. Being thus re-enforced, he again attacked the left flank of Moreau, and attempted to seize the Stokach-Mosskirch road. But in his attempt to outflank the French, he was in turn outflanked by them, and was again compelled to retire.