(3)I AM going to be going to fix
(6)I AM going to be fixing...
(9)I AM going to be having fixed
(2)I AM going to fix...
(5)I AM fixing...
(8)I AM having fixed...
(1)I AM having been going to fix...
(4)I AM having been fixing... (i.e. I have been fixing)
(7)I AM having been having fixed...

The box represents the time period during which "fixing" is taking place. Time is moving in the direction of the arrows. The moment "I am", during which the speaker is speaking, is the present which is either 2, 5, or 8.
2 is an arbitrary moment before "fixing" has started.
5 is an arbitrary moment during which "fixing" is taking place.
8 is an arbitrary moment after the "fixing" has been completed.
(Changing "am" to "was" or "will-be" moves the entire thing into the past or future respectively.)
I started with the grammatical sentences and then regularized them to show the underlying pattern. This question isn't about English grammar. It's a question about tenses and aspects and whatever the other thing is.