The engine number is 3 TNE 74-ENSR3, will this part fit?

As your engine is 3TNE this would fit your machine. You can double check if it is the right one by looking at the stop solenoid on your engine and seeing if it has a part number on there. If it has either 119233-77932, 119233-77931 or 1503ES-12S5SUC12S then it is the right one.