Finding the Fourth Proportional to 9,629.48, 13,288.70 and 5,380.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,629.48 : 13,288.70 = 5,380.55 : x
2. Step 2: Convert to fraction form
   9,629.48/13,288.70 = 5,380.55/x
3. Step 3: Cross multiply
   9,629.48x = 13,288.70 × 5,380.55
4. Step 4: Simplify right side
   9,629.48x = 71,500,514.79
5. Step 5: Solve for x
   x = 71,500,514.79/9,629.48
6. Step 6: Final answer
   x = 7,425.17