High-average-power fourth harmonic generation (4thHG) of an Nd:YAG laser has been achieved by using a KBe₂BO₃F₂-prism-coupled device (KBBF-PCD) . The highest output power of 7.86 W at 266 nm was obtained with a conversion efficiency of 10%. To our knowledge, this is the highest power ever obtained by a KBBF-PCD. The stability of the 266 nm output power at 3.26 W was measured over a period of 60 minutes, and the standard deviation jitter of the average power was 1.4%. Moreover, the temperature bandwidth for KBBF was also measured at 266nm for the first time,which shows that KBBF has significant advantages in high power 4thHG compared to other major nonlinear optical crystals and is potential for UV applications.