Finding the Fourth Proportional to 3,538.52, 5,300.10 and 2,562.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,538.52 : 5,300.10 = 2,562.52 : x
2. Step 2: Convert to fraction form
   3,538.52/5,300.10 = 2,562.52/x
3. Step 3: Cross multiply
   3,538.52x = 5,300.10 × 2,562.52
4. Step 4: Simplify right side
   3,538.52x = 13,581,612.25
5. Step 5: Solve for x
   x = 13,581,612.25/3,538.52
6. Step 6: Final answer
   x = 3,838.22