Based on the application's RTO and RPO, the administrator needs to make sure that data can be restored within four hours, and the application can be brought back online within two hours. As the backup takes one hour, this leaves only one hour for the restoration process.
Option A, backing up to long-term storage every night, would have an RPO of 24 hours, which does not meet the application's requirements.
Option B, backing up to object storage every three hours, would have an RPO of three hours and would provide more frequent backups than necessary, increasing costs.
Option D, backing up to object storage every hour, would provide more frequent backups than necessary, increasing costs, and would not meet the RPO of four hours since data restoration takes one hour, and backups occur every hour.
Therefore, the best option would be to back up to long-term storage every four hours, with an RPO of four hours, which meets the application's requirements with the least cost. So, the correct answer is option C.