Apply the appropriate formula to find out how much space is taken up by a right rectangular prism with a length of 4 yards, a width of 6 yards, and a height of 7 yards?

The formula to find the volume of a rectangular prism is:

Volume = length x width x height

Plugging in the given values:

Volume = 4 yards x 6 yards x 7 yards
Volume = 168 cubic yards

Therefore, the space taken up by the right rectangular prism is 168 cubic yards.