Herrera said the investigation is ongoing and there were no details about whether any property was recovered. No one else has been arrested, she said.
Jail records did not indicate whether Prugo has an attorney.
Lohan's Hollywood Hills home was broken into last month. Patridge, a star of MTV's show "The Hills," had her home burglarized in February.
Both women turned over surveillance footage of the break-ins. Lohan's footage showed three people, while Patridge's cameras captured a man and a woman.
A publicist for Patridge, 24, declined to comment. Lohan's publicist did not immediately reply to an e-mail sent after hours Thursday.
Lohan, 23, has starred in films such as "Mean Girls" and "Herbie Fully Loaded." She posted a Twitter message after the burglary at her house stating that several items of sentimental value were taken.
Neither actress was home at the time of the burglary.