Rooting hormone is a completely separate product.
Fertilizer is a method for you to artificially feed your plants what they need so they can grow and bloom.
Rooting hormone on the other hand is pretty self explanatory, but it is a separate product. Some people will mix a bit of rooting hormone in with their fertilizer solution so they can fertilize and treat with the hormone at the same time, but given that this is only 1 phal, I wouldn't recommend that in your case. If you go to some of the big box stores like Home Depot, you can often find Superthrive or some similar rooting hormone. Make sure that you are NOT getting the rooting hormone powder! The powder is intended for terrestrial plants, not epiphytic orchids (ground vs. air plants). The latest product that I have switched to and am currently trying is Maxicrop, a liquid seaweed solution that contains natural rooting hormones and micronutrients that our orchids love. I haven't had any personal success stories with it yet (just made the switch and applied a day ago), but there have been many who have.
Let me know if you have any other questions!
PS- Welcome to the OB! We are a community here to help in situations like these!