Hard to tell from the picture but it looks like a short coaxial barrel connector . If there's a Radio Shack nearby you could take the cable and DAC into the store to look for a match. My local store has a bundle of the barrel connectors of all sizes that can be used to test for fit.
You have to be sure that the center opening is snug on the pin on the DAC but as long as the fit is good you could wire two together and you're in business.
You have to be sure that the center opening is snug on the pin on the DAC but as long as the fit is good you could wire two together and you're in business.