Same thing happens to me on my scotts mower - in a fashion.
Mower ran fine and then it ran out of gas. I went to a local fly-by-night gas station for more gas - filling my jeep at the same time.
Once i put the gas in the mower would start but then stop after a few seconds. After reading the above posts i decided the culprit was likely the gasoline and i put a little gas dryer in the gas, loosened the nut on the float bowl to let the old fuel drain out and then retightened the nut.
Mower ran fine from then on.
So perhaps the issue isn't as complicated as carburator rebuilds etc for some of you - it wasn't for me.
Good Luck
Dave Rimmer