Adobe Flash Player 9 recognizes K-Meleon and installs correctly.
If you try to find the install_flash_player.exe file starting from www.adobe.com/downloads, you are told that there is no player for your platform and browser. This should not bother you, just click on the "table of recommended Web players" link and chose the file for Netscape/Mozilla/Opera/CompuServe?.
When prompted to Save As, save the flashplayer6installer.exe onto your computer. Be sure to remember the download location that you selected.
Close K-Meleon and go to the location where you saved the file. Double-click the file to start the Install process. Follow the instructions on the setup screens. The Flash Player Setup program will prompt you to exit out of all other applications including your web browser. When you have done that, click on the Next button to continue the installation.