An officer began chasing him while another officer checked out a nearby car, which suddenly sped off in the direction of the first officer, Dunn said.
The second officer then opened fire on the car but the driver escaped, Dunn said.
A search for the first man ended about 45 minutes later when a paroled burglar was found hiding near some train tracks, Dunn said.
The man had been bitten by a police dog and was taken to a hospital for treatment before being booked on suspicion of burglary and resisting arrest. His name was not immediately released.
The shooting came as activists in Los Angeles, Seattle and other cities called for Friday solidarity protests over the earlier police killings.
Last Saturday, a police officer fatally shot Manuel Diaz, who was unarmed, outside an apartment complex. Officers said Diaz, who had a criminal record, failed to heed orders and threw something as he fled police.
On Sunday night, police shot to death Joel Acevedo, a suspected gang member they say fired at officers after a pursuit.
The shootings prompted four days of violent protests, culminating Tuesday night in hundreds of demonstrators surging through downtown streets. Police said some in the crowd smashed the windows of 20 businesses, set trash can fires, threw rocks and bottles at police and damaged City Hall and police headquarters. Two dozen people were arrested.
The Orange County district attorney's office is investigating and the U.S. attorney's office and the FBI also agreed to review the shootings to determine if civil rights investigations are warranted.