Finding the Fourth Proportional to 9,358.61, 12,915.38 and 5,380.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,358.61 : 12,915.38 = 5,380.10 : x
2. Step 2: Convert to fraction form
   9,358.61/12,915.38 = 5,380.10/x
3. Step 3: Cross multiply
   9,358.61x = 12,915.38 × 5,380.10
4. Step 4: Simplify right side
   9,358.61x = 69,485,944.46
5. Step 5: Solve for x
   x = 69,485,944.46/9,358.61
6. Step 6: Final answer
   x = 7,424.81