Question

Basic engine operation can be divided into four stages. These stages (listed in the proper order) are

Answer 1

As rightly said, basic engine operation can be divided into four stages. These stages, listed in the proper order, are as follows:

1. Intake
2. Compression
3. Power
4. Exhaust

This is known as the Otto Cycle (otherwise called the Four Stroke Cycle). Typically, only one rotation of the engine crankshaft is required for the intake stroke and compression stroke, and another rotation is required for the power stroke and exhaust stroke.

Answer 2

The answer would be: Intake, Compression, Power, and Exhaust.

Intake: also known as induction or suction.
Compression: starts at the end of the suction stroke, and ends at T.D.C. 
Power: also known as combustion. This is the start of the second revolution of the four stroke cycle.
Exhaust: also known as outlet. In here, the piston once again returns from B.D.C. to T.D.C. while the exhaust valve is open. This action eliminates the spent air-fuel mixture through the exhaust valve.