Finding the Fourth Proportional to 9,358.31, 12,914.46 and 5,380.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,358.31 : 12,914.46 = 5,380.20 : x
2. Step 2: Convert to fraction form
   9,358.31/12,914.46 = 5,380.20/x
3. Step 3: Cross multiply
   9,358.31x = 12,914.46 × 5,380.20
4. Step 4: Simplify right side
   9,358.31x = 69,482,377.69
5. Step 5: Solve for x
   x = 69,482,377.69/9,358.31
6. Step 6: Final answer
   x = 7,424.68