A proposal to build San Francisco’s fourth-tallest building, the final major project in the Transbay district, received key approvals Thursday.

The Planning Commission approved the 61-story tower at 546 Howard St., a project that now requires final approval from the Board of Supervisors.

The tower, to be built on a site know as Parcel F, would include 165 condos, 189 hotel rooms and 325,000 square feet of office space leased by Salesforce. The project would also help fund 337 affordable apartments a few blocks to the east.

Chinatown activists opposed the project late last year because of a shadow it would cast on Willy “Woo Woo” Wong playground. The city’s Recreation and Park Department determined that the shadow — from 8 a.m. to 8:20 a.m., November to late January — is within limits allowed by the 2011 Transbay plan.

C.J. Higley of Farella Braun and Martel, the project’s land use attorney, said at Thursday’s hearing that an agreement had been reached with the opponents. Those groups, which include Committee for Better Parks and Recreation in Chinatown, now support the project, representative Eddie Ahn said at the hearing.

Other Transbay projects, such as Oceanwide Center, have agreed to pay money to support Chinatown parks to offset shadows.

But Julie Chase, a spokeswoman for Parcel F developers Hines, Urban Pacific and Goldman Sachs, said no payments were made.

Fred Clarke of project architect Pelli Clarke Pelli — who also designed Salesforce Tower and Salesforce Transit Center — said at the hearing that the project would complete the Transbay district.

“The key last piece is Parcel F,” he said.

Roland Li is a San Francisco Chronicle staff writer. Email: roland.li@sfchronicle.com