Saying we are going from the third to the fourth dimension (or whatever the different ways of talking about it that there are) is to miss deeper understanding. These dimensions exist all at one time and we (Mother Earth & Planet Earth) and you are already in them. So it is not something we are moving into. But what is changing is the predominant awareness of where humans are and how humans are aware that they can exist. Awareness is changing.
Think of a beautiful flowing river that moves no matter the obstacle. This river is a continuous flow moving always within the potential and possibility of all energy. The river is a flow of divine energy containing the infinite possibility of the universe. This river is the flow of All That Is.