Final answer:
Carson City comes first alphabetically among the four U.S. state capitals with the word 'city' in their name.
Step-by-step explanation:
The four U.S. state capitals that have the word 'city' in their name are Carson City (Nevada), Jefferson City (Missouri), Oklahoma City (Oklahoma), and Salt Lake City (Utah). To determine which capital comes first alphabetically, we can compare the names letter by letter. In this case, 'Carson City' comes first because 'C' comes before 'J', 'O', and 'S'.