A superb display from White helped the Robins cruise to a 5-1 victory to boost hopes of winning promotion back to the Premier Division.
Bracknell actually went behind in the match to an early Hinksey goal, but former Reading FC striker Scott Williams grabbed a swift equaliser to put the visitors back on level terms.
And White did the rest with one goal before the interval and three more after it to seal an impressive win.
Bracknell were due to travel to Fairford Town last night in the second round of the AM Print and Copy Floodlit Cup (Tuesday, 7.45pm ko).
Binfield returned to winning ways with a hard-fought 1-0 victory at Thame United in the Hellenic Premier.
The Moles' four-match winning streak came to an end against Newbury last week.
But Mark Tallentire's men put that disappointment behind them to secure all three points at Thame on Saturday.
Jos Millar netted the decisive goal late in the first half, taking his tally to seven in nine starts.
And the win also maintained Binfield's impressive 100% record at Thame's ASM Stadium.
Wokingham & Emmbrook drew their third match in a row in the Hellenic Premier after a goalless draw at home to Highworth Town.
Nick Bateman was unlucky not to win a penalty for Roger Herridge's Satsumas, but Highworth also hit the woodwork late on in a game of few chances.
Wokingham, however, remain unbeaten in seven matches in all competitions and were due to host Flackwell Heath at Larges Lane in the AM Print and Copy Floodlit Cup last night (Tuesday, 7.45pm ko).
Also in the Hellenic Premier, Ascot United lost 3-1 at Cheltenham Saracens.
Ben Knight scored an injury-time consolation for the Yellamen, but it was too little too late as a hat-trick from Ethan Moore had put Saracens three goals in front.
Sandhurst Town eased into the third round of the EL Records Premier Challenge Cup thanks to an emphatic 5-1 win at CB Hounslow.
Combined Counties Premier side Sandhurst were simply too strong for their Division One hosts and controlled the game from start to finish.
Sandhurst Town were due to host Gurnsey at Bottom Meadow in the Combined Counties Premier Division last night (Tuesday, 7.30pm ko).
Elsewhere, Finchampstead FC suffered a narrow 1-0 defeat at home to Easington Sports in Hellenic Division One East.
Eversley & California thumped Sheerwater 5-0 in the EL Records Premier Challenge Cup second round.
They are due to host AFC Croydon in the third round this Saturday (3pm ko).