A few corrections. 3-pin and 4-pin fans require different Modes of control. Older 3-pin fans need Voltage Control Mode (aka DC Mode); 4-pin fans are best done with PWM Mode, but can be controlled also the DC Mode. Your mobo's only SYS_FAN header can be set in BIOS Setup to use either Mode, so normally you would set that according to the type of fan you have plugged in there. If you mis-match fan type and control Mode, here's what happens: a 3-pin fan plugged into a header using PWM Mode will always run full speed, so you get good cooling but no speed control; a 4-pin fan plugged into a header using DC Mode WILL have its speed controlled, even though technically this is not the ideal control Mode for it.
Now, you already have 4 fans supplied with the case, but I cannot find any specs on the case website for which type they are. So you have to look for these things:
1. For each fan, how many wires comes from the fan motor to a connector on the end - 2, 3, or 4?
2. Those connectors. They could be one of three types. A 4-pin Molex Male is about 3/4" wide with space for four round pins in a line inside a plastic shroud, although there may be only 2 pins installed. A standard 3-pin fan female connector is smaller - about 3/8" wide - with three holes in a line, and two ridges on one side of the connector body. A standard 4-pin fan connector looks VERY much like the 3-pin one, except it is a little wider and has 4 holes, with the extra one beyond the ridges. So, which do you have on your fans? Oh, by the way, SOME fans come with both a 3-pin standard fan female and a 4-pin male Molex on their wires, and you plug in ONE of those two connectors for each fan.
3. Where are they plugged in? I suspect strongly that none of them is plugged into the mobo SYS_FAN header. Are they all plugged into some front panel module? Or, are the wires for all of them plugged into a power output from the PSU?
You should be aware that any common mobo fan header can supply up to 1.0 A current max to the total load of all fans connected to it. Connecting several to one header is possible using a Splitter - in fact, that's almost the only way to power and control several 3-pin fans from a mobo header. Many of today's fans run on 0.1 to 0.2 A max, so four together fits within that limit, but five might or might not. If you can see the label on one of those fans, see if it specifies it Amp rating.
If you can answer those questions above we can provide more detailed info on what can be done, and how.