You can build closed and proprietary software on top of GPL software (for certain definitions of "on top of"), as long as any changes to the GPLed software are released as source, and LGPLed software is only linked to dynamically.
Example: If I wrote an alternative GUI system to replace X and the open window managers, I wouldn't necessarily be forced to open-source that system.
Real-world example: My employer uses Linux in some of its products, integrated with our proprietary software in license-compliant ways (and we've got a legal office that verifies that we're following the licenses for all the software that we use, to avoid legal trouble).