Finding the Fourth Proportional to 9,629.75, 13,288.89 and 5,380.87

Step by Step Solution

1. Step 1: Write the proportion equation
   9,629.75 : 13,288.89 = 5,380.87 : x
2. Step 2: Convert to fraction form
   9,629.75/13,288.89 = 5,380.87/x
3. Step 3: Cross multiply
   9,629.75x = 13,288.89 × 5,380.87
4. Step 4: Simplify right side
   9,629.75x = 71,505,789.53
5. Step 5: Solve for x
   x = 71,505,789.53/9,629.75
6. Step 6: Final answer
   x = 7,425.51