To solve this equation, we can first simplify the right side:

3 1/6 = 19/6
13 1/3 = 40/3

Now we have:

(x - 0.8) / (16/19) = 19/6 / 40/3

Reciprocal the divisor:

(x - 0.8) / (16/19) = 19/6 * 3/40

Simplify the right side:

(x - 0.8) / (16/19) = 57/240

Now cross multiply:

240(x - 0.8) = 16 * 57

240x - 192 = 912

Add 192 to both sides:

240x = 1104

Divide by 240:

x = 4.6

Therefore, the solution to the equation is x = 4.6.