I'm terrible with Maths (and probably always will be) and need some help with this. 
Basically I want to find the position of a point after the centre has rotated. This image will help explain I hope.
I just need to know the new position in 3D space of the point after the centre point has rotated 45 degrees. The centre is at 0,0,0 and the point is at 4.78, 5.20, 9.77 (just an example).

Basically I want to find the position of a point after the centre has rotated. This image will help explain I hope.

I just need to know the new position in 3D space of the point after the centre point has rotated 45 degrees. The centre is at 0,0,0 and the point is at 4.78, 5.20, 9.77 (just an example).