I know from experience how frustrating it is when the scale refuses to move. But I have learned to measure success in different ways (but still get on the scale every morning - its addictive!)
I keep measurements, and have noticed that when I'm fasting and the weight doesn't move, the measuring tape does. If you don't have measurements, perhaps you can start some now. Or try on some clothes that was too tight before.
Most of all, remember that your body knows what it is doing. If you continue to eat/drink only healthy food, it will drop the unhealthy weight. Maybe it's working on detoxing an organ or something, which is equally if not more important that melting fat stores. Give yourself more time, and it WILL HAPPEN!