Bróin is alive, and is resting from his ordeal now in the Peaceful Path.
'You should go now to see Bróin. I know that he will want to speak with you about his grand adventure.
'He's resting in the Peaceful Path, a camp that my father has made for those recovering from wounds received while reclaiming the mines from the Orcs and other unwelcome creatures that dwell in this place.
'The entrance to the Peaceful Path is along Durin's Way, north-east of the gardens there. There you will find Bróin recovering from his ordeal.'
Bróin is resting in the Peaceful Path, a camp established on Durin's Way, north-east of the gardens there.
Bori is sure that Bróin would like to speak with you about his adventures.