How would one convert measured magnitudes of a satellite object to radiant intensity?

[Jd1431]

TL;DR Summary

Asking how I would convert measured magnitudes to radiant intensity.

I have the measured magnitudes of a satellite object in four filters and I want to convert this into into Radiant Intensity. I was told that if I integrated the solar spectrum over my filter bandpasses , I could obtain the visual mag of the sun in each of these filters and use this to obtain the RI of the satellite (knowing the satellite mag), However I am unsure of the correct relationships/equations needed to do this.

Any help would be appreciated.