Set up the direct proportion:
[tex] \frac{\$360,000 \text{ assessed}}{\$7,920 \text{ tax}} = \frac{\$930,000 \text{ assessed}}{\$x \text{ tax}}[/tex]
Cross multiply (you can reduce first if you prefer):
[tex]360,000x=7,365,600,000[/tex]
Divide both sides by 360,000 to isolate x:
[tex]x=20,460[/tex]
You're paying $20,460 in tax on that $930,000 house.