Now I have a new LG Optimus 4X HD bought that does not naturally fit into my old bracket. Unfortunately, there is not too many accessories for mobile phones. However, the dimensions (almost) identical to the Gamsung Galaxy S III. So I have just bought time and watched whether that fits a S III bracket.
It fits perfectly! as they Währe made for it.
So I have the cell phone holder easily replaced with the old bracket.
Perfect!