That would require splicing which is not really my fortre. I also don't know if I have a spare PSU lying around I'd have to check.
Leave it to micca to have some crazy BS power connection. This 4 pin header isn't something I've seen before after years of messing around with and building pcs.
You would usually only find that connecter in what is usually called a pico/micro computer.
Its not just a Micca thing, even hard drive enclosures typically use that connecter.
I have three lying around my office right now from non-functional enclosures.
I hope you are able to find and old sata connecter. Just be careful with prying the
connecter open and then just gently remove the original cables keeping in mind
the order of the wires. To help you out I will take the pics of mine that I promised
earlier in the thread so you can see what I did with the cable