The pilot reported that, during an aerial application flight, the engine lost total power. The pilot attempted to restart the engine but was unsuccessful and was forced to land in a dry plowed field. The left wing was substantially damaged. Postaccident examination of the airplane revealed that the right-side fuel tank was almost empty, and the left side fuel tank contained approximately 15 gallons of fuel. The Airplane Flight Manual for the airplane states that skidding turns below ½ tanks can transfer fuel from one tank to another, which will lead to engine flameout if one tank runs dry. Subsequently, the pilot stated that he should have completed a better visual inspection of the contents of both fuel tanks before takeoff. The pilot reported that there were no preaccident mechanical failures or malfunctions with the airplane that would have precluded normal operation.