Finding the Fourth Proportional to 3,836.23, 5,290.10 and 3,613

Step by Step Solution

1. Step 1: Write the proportion equation
   3,836.23 : 5,290.10 = 3,613 : x
2. Step 2: Convert to fraction form
   3,836.23/5,290.10 = 3,613/x
3. Step 3: Cross multiply
   3,836.23x = 5,290.10 × 3,613
4. Step 4: Simplify right side
   3,836.23x = 19,113,131.30
5. Step 5: Solve for x
   x = 19,113,131.30/3,836.23
6. Step 6: Final answer
   x = 4,982.27