How do I scale a 9-b signed 2's complement data by 17/sqrt(2

[Mr. Ken]

My task is to scale up a 9-bit data by 17/sqrt(21) (= 3.7097), with the
best precision possible. Without considering clipping and range issues, I
am using multiplication by 59/16, which gives 0.599% error. What better
approach can I use?

I am going to implement the calculation in ASIC, thus less complexity is
what I am expecting.