I'd like to clear up a misconception: there
is no fourth dimension. As a matter of fact,
there is no third dimension, either. Now,
by that I don't mean that there aren't three
dimensions… there are, but just we can't
tell these dimensions apart: there's no special
direction you can call "the 1st dimension,"
[north? east? up?] so it doesn't make sense
to say "this is the 2nd one," or "what's the
fourth one?"
It's like if you have a jug with three cups
of water in it... it's easy to tell that there
ARE three cups of water, but which is the
first cup? the second? or the third? Those
questions don't even make sense!
That said, there may be different KINDS of
dimensions that you CAN tell apart - like
if you poured three cups of water and one
cup of oil into our dimensions jug. Then you
could say "I have three dimensions that behave
in the same way, and one that behaves a different
way." And that's what we mean when we say
that we live in three spatial dimensions and
one time dimension.
And there's nothing crazy about adding another
cup of water so that you'd have four watery
cups and one oily cup; likewise we can contemplate
what the universe would be like if there were
FOUR spatial dimensions and one time dimension…
or in the case of string theory, nine spatial
dimensions and one time dimension.
And while we're at it, it's not even too hard
to conceive that there might be two dimensions
of time… but I don't have even have enough
of one time dimension to explain that now.
So if you'd like to try your brain at visualizing
a world with four spatial dimensions, check
out the book Flatland or try solving a 4D
rubiks cube.