Finding the Fourth Proportional to 9,629.25, 13,288.20 and 5,380.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,629.25 : 13,288.20 = 5,380.38 : x
2. Step 2: Convert to fraction form
   9,629.25/13,288.20 = 5,380.38/x
3. Step 3: Cross multiply
   9,629.25x = 13,288.20 × 5,380.38
4. Step 4: Simplify right side
   9,629.25x = 71,495,565.52
5. Step 5: Solve for x
   x = 71,495,565.52/9,629.25
6. Step 6: Final answer
   x = 7,424.83