You have the correct driver...the 5470 is part of the 5400 SERIES.
These are the last drivers for your laptop. Choose which one you want > https://support.amd.com/en-us/download/desktop/legacy?product=legacy3&os=Windows+7+-+32
Laptop graphics update...How to
** Windows 7 and Windows 8.1 must be fully updated before attempting to install any AMD driver. All 'critical', 'recommended', and 'optional' (no language packs,etc) updates as well as any Service Packs (SP) must be installed before any attempt to install graphics drivers. If you do not get this message .... keep installing until you do:
