If you have a previous versions, first you delete the same and follow these steps. On Monterey(latest version) it is working for me even I had same problem.
Download, https://www.oracle.com/tools/downloads/sqldev-downloads.html SQL Developer from this link
Download Java 8 or 11 required for this version.
link for java 8 *) https://www.oracle.com/java/technologies/downloads/#java8
link for java 11 *) https://www.oracle.com/java/technologies/downloads/#java11