If you've already got a taproot but want to see more growth out of it I doubt rooting hormone is going to help. Granted, propagation isn't really my jam, but I don't recall us ever using that except on things that don't have a root at all.
It probably needs some phosphorous to push out new roots. Fertilizers can (and should) contain a bunch of micro nutrients but the big macro nutrients are nitrogen, phosphorous, and potassium, or NPK. That's what the three numbers on fertilizers are about. Nitrogen to promote vegetative (green stuff) growth, phosphorous to grow roots and blooms, and potassium for moving around stuff, mostly water, which helps them deal with stressful situations or setting fruit.
If you've got a water soluble fertilizer like all purpose Miracle Gro around I'd probably mix that in at 1/4 of the label rate and set the plant in that, see if it roots. It might burn the snot out of it. If so try cutting it in half. I'm not sure how to dose that stuff off the top of my head.