Finding the Fourth Proportional to 9,359.24, 12,916.14 and 5,381.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,359.24 : 12,916.14 = 5,381.60 : x
2. Step 2: Convert to fraction form
   9,359.24/12,916.14 = 5,381.60/x
3. Step 3: Cross multiply
   9,359.24x = 12,916.14 × 5,381.60
4. Step 4: Simplify right side
   9,359.24x = 69,509,499.02
5. Step 5: Solve for x
   x = 69,509,499.02/9,359.24
6. Step 6: Final answer
   x = 7,426.83