Finding the Fourth Proportional to 3,684.52, 5,081.88 and 2,565.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,684.52 : 5,081.88 = 2,565.52 : x
2. Step 2: Convert to fraction form
   3,684.52/5,081.88 = 2,565.52/x
3. Step 3: Cross multiply
   3,684.52x = 5,081.88 × 2,565.52
4. Step 4: Simplify right side
   3,684.52x = 13,037,664.78
5. Step 5: Solve for x
   x = 13,037,664.78/3,684.52
6. Step 6: Final answer
   x = 3,538.50