A 4 way, 3 position valve would normally be direct operated by a standard on/off solenoid. However, this would only be used on small valves with low flow rates as high flow rates make the spool hard to control and thus require huge spools.
For larger flow, a smaller valve is used as a pilot valve. Again, the simplest method of doing this is to use an on/off solenoid to make the main spool go one way, or the other.
Proportional and servo valves would be used to control a 4 port, 3 position valve. They wont be the main stage as it would be impossible to get the necessary level of control
To be able to use the spool to control speed or position with any sort of control or repeatability, then the solenoids would be proportional types. Depending on what money you have available to spend, proportional valves can give good performance in terms of response and accuracy. if you add close loop control, with a good algorithm, you can control flow and pressure to within about 3% in terms of accuracy and repeatability. There is also a limit to the frequency that proportional valves can maintain. The proportional or servo valve is used to control the position of a main spool, generally controlling the pressure acting on the end of the spool as it moves against a spring.
So as you move along the curve in terms of performance requirements, you will move into the world of servo valves. Servo valves are really just high performance proportional valves. Servo valves, when used with closed loop control, will allow a very high level of control of the actuator. Certainly to within 1% of accuracy and repeatability...if the correct amplifiers etc are used.
If you are familiar with PID control, you will understand how the gains affect the system response and performance. The ramp up, overshoot, settle time, steady state error...etc are all excellent with servo valves. However, it all comes at a cost and servo valves can be fragile. Equally, it is important to understand the transient conditions of the system, servo valve can be impossibly difficult to get right if they are not matched to the system correctly.
Of course, this is a very simplistic description of servo valves. It can be a very complicated subject, depending on what level you want to go down to.
I hope this helps a little.