To solve for x, we first need to isolate the variable on one side of the equation.

To do this, we can start by multiplying both sides of the equation by (2x-4.72) to get rid of the fraction:

7.42 = 1.855(2x - 4.72)

Now, distribute 1.855 to both terms inside the parentheses:

7.42 = 3.71x - 8.7536

Next, add 8.7536 to both sides of the equation to isolate the term with x on one side:

7.42 + 8.7536 = 3.71x

15.1736 = 3.71x

Now, divide by 3.71 on both sides to solve for x:

x = 15.1736 / 3.71
x ≈ 4.09

Therefore, the solution to the equation is x ≈ 4.09.