Finding the Fourth Proportional to 10,538.12, 14,545.24 and 7,709.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538.12 : 14,545.24 = 7,709.60 : x
2. Step 2: Convert to fraction form
   10,538.12/14,545.24 = 7,709.60/x
3. Step 3: Cross multiply
   10,538.12x = 14,545.24 × 7,709.60
4. Step 4: Simplify right side
   10,538.12x = 112,137,982.30
5. Step 5: Solve for x
   x = 112,137,982.30/10,538.12
6. Step 6: Final answer
   x = 10,641.18