The pilot stated that prior to departing on a cross-country flight the "airplane was topped [off with fuel] prior to the flight." Before the return trip the pilot visually checked the fuel level in the tanks and estimated that the right tank had 10 gallons and the left had 12 gallons of fuel. The pilot reported that while on final approach to the destination airport the "engine began to sputter" and lost power. He attempted to perform an engine restart, including switching the fuel selector to another tank, but was unsuccessful. The airplane subsequently impacted terrain short of the runway resulting in substantial damage to the right wing and firewall. In a verbal statement the pilot said that he "suspected a fuel management issue." An FAA inspector examined the airplane and found that the right fuel tank was empty and the left tank had approximately 3.5 gallons of fuel. According to the FAA inspector the fuel tanks were still intact and there was no evidence of a fuel leak.