When you do test the joint, watch for a strong reaction of pain, and try to feel the joint, comparing it to the other good one if needed to see if anything feels off place.
More information about what you find on the physical exam will be helpful in determining the nature of his problem, but it...
A drake will never quack, so if the bird was quacking previously, and now has lost its voice, it's a female, not a male.
As far as any sort of deficiency, like niacin, you can cross that off, as that would appear at a younger age, and is not going to paralyze the duck in just a few days...