Finding the Fourth Proportional to 10,363.52, 15,537.98 and 5,165.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,363.52 : 15,537.98 = 5,165.76 : x
2. Step 2: Convert to fraction form
   10,363.52/15,537.98 = 5,165.76/x
3. Step 3: Cross multiply
   10,363.52x = 15,537.98 × 5,165.76
4. Step 4: Simplify right side
   10,363.52x = 80,265,475.56
5. Step 5: Solve for x
   x = 80,265,475.56/10,363.52
6. Step 6: Final answer
   x = 7,745.00