No non-dslr will provide you with a decent indoor photo, except for the more expensive Fuji that is better on higher iso due to the larger sensor.
I get more then ok images for indoors but you have to take several 'precautions'.
1) I always use 'P' mode instead of iA mode when I use the flash indoors.
The reason is that I can lower the iso value to 100 and I have full control over the camera.
Lower iso = lower noise but shutter times go up so make sure you have a steady hand and non moving objects
2) It depends on the distance between the camera and the object.
In a large room the build in flash is not enough to lite up the whole room .
Personaly I would buy a dslr for this with an external flash but it will cost alot more, nearly twice the price of a FZ28 and not as portable
I took the following pictures with the build in flash