Finding the Fourth Proportional to 9,358.16, 12,914.22 and 5,380.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,358.16 : 12,914.22 = 5,380.02 : x
2. Step 2: Convert to fraction form
   9,358.16/12,914.22 = 5,380.02/x
3. Step 3: Cross multiply
   9,358.16x = 12,914.22 × 5,380.02
4. Step 4: Simplify right side
   9,358.16x = 69,478,761.88
5. Step 5: Solve for x
   x = 69,478,761.88/9,358.16
6. Step 6: Final answer
   x = 7,424.40