Fred Dixon is not replacing Neil Patrick Harris in “Hedwig and the Angry Inch” on Broadway, but he still has one of the hardest acts to follow in New York City.

After the city attracted a record number of visitors for the fourth straight year in 2013, Mr. Dixon was promoted to run NYC & Company, the city’s tourism marketing agency. Now he has to figure out how to keep stoking what has been a primary engine of the city’s recovery from the financial crisis.

The tourism boom, and the spending and tax revenue that come with it, was one of the biggest successes of the administration of former Mayor Michael R. Bloomberg. Mr. Bloomberg took control of NYC & Company, installed George A. Fertitta as its chief executive, and laid out one audacious goal after another.

In 2006, Mr. Bloomberg set a target of 50 million annual visitors by 2015, an increase of 6 million, or nearly 15 percent. That goal was reached four years ahead of schedule, so Mr. Bloomberg raised it to 55 million. He set another goal of having tourism’s impact on the city’s economy — a more complicated gauge — rise to $70 billion annually by 2015.