Finding the Fourth Proportional to 9,629.88, 13,287.91 and 5,380.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,629.88 : 13,287.91 = 5,380.42 : x
2. Step 2: Convert to fraction form
   9,629.88/13,287.91 = 5,380.42/x
3. Step 3: Cross multiply
   9,629.88x = 13,287.91 × 5,380.42
4. Step 4: Simplify right side
   9,629.88x = 71,494,536.72
5. Step 5: Solve for x
   x = 71,494,536.72/9,629.88
6. Step 6: Final answer
   x = 7,424.24