The pilot of the single-engine airplane reported that he was on the final leg (approximately 10 minutes after takeoff) of a multi-segment cross-country flight when the engine stopped producing power. The pilot was unable to restart the engine and landed in a field near the destination airport. During the landing roll, the airplane collided with a ditch. The pilot stated that prior to the final leg of the cross-country flight the airplane fuel quantity indicators read "just under" 1/2 and 1/8 full. He added that he did not visually inspect the fuel quantity in the fuel tanks during the preflight inspection. Postaccident examination of the airplane revealed structural damage to the firewall. The fuel system, including the fuel tanks, was intact and no leaks were observed. An airframe and powerplant mechanic who recovered the wreckage reported that there was no fuel in the left tank and approximately 3/4 of a gallon of fuel in the right fuel tank. No preaccident mechanical deficiencies with the airframe or engine were noted.