|Note the lack of "Grand Central Air Terminal" lettering above the arches.|
The Fokker F.10, a 12-passenger outgrowth of the successful eight-passenger F.VII, was the first Fokker to be built in the US (from components imported from Holland by Fokker subsidiary Atlantic Aircraft Corporation).
It was the airplane of choice of Western Air Express for its new first-class service between Los Angeles and San Francisco, and WAE had ordered sixteen of them; NC4458, the plane shown here, was the first of these to be delivered, on April 24, 1928. The type stayed in service after WAE merged with Transcontinental Air Transport-Maddux Airlines to become Transcontinental & Western Air (and later Transworld Airlines) on July 24, 1930. Interestingly, the plane carries the company's titles in three different ways...TWA (instead of T&WA) under the wing, "Transcontinental / Western Air Inc" under the Indian head logo, and "Transcontinental Air Transport - Maddux Airlines And Western Air Lines" under the passenger windows (below).
A detailed technical article from 1928 describing the F.10 can be found here.
The Ed Coates Collection includes a similar photo of the same plane, possibly taken just a few seconds later as the Fokker taxied past.
A big tip o' the hat to Luc Winance for some of the dates and details!