Grab the fork, head for the closest body shop, ask them to pull out their pant chip books and spend a few hours browsing and matching. If you're not happy with the color, you'll never really be happy riding the bike I'd suspect. I took better than 3 weeks researching and looking for the right color when I repainted my Serotta. Cost me an extra $50 over normal price because I'd picked out some fancy 3-stage paint, but in the end it was exactly what I wanted and love just seeing it sparkle in the sun.
btw: I wouldn't call that bronze either. Can't think of a car I've seen recently in that color though that I could help you narrow down the search. My old 85 Caprice Classic was somewhat of a bronze, but that was after 13 years of sun exposure of the original paint. After paint it was a bit more 'brown' than it had been.