P = $3668 the principal

t = 3 years

r = 0.04 or 4% annual rate

m = 4 compounding period per year

i = 0.04/4 = 0.01 interest rate per period

n = t*m = 3*4 = 12 total number of compounding periods

A = the future value

I = interest

A = P(1 + i)^n

A = 3668(1 + 0.01)^12

by solving we find:

A = $4,133.19

click here to see the step by step calculation:

I = A - P

I = $4,133.19 - $3,668

I = $465.19

the amount of interest will be $465.19.