Finding the Fourth Proportional to 9,629.98, 13,288.06 and 5,380.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,629.98 : 13,288.06 = 5,380.52 : x
2. Step 2: Convert to fraction form
   9,629.98/13,288.06 = 5,380.52/x
3. Step 3: Cross multiply
   9,629.98x = 13,288.06 × 5,380.52
4. Step 4: Simplify right side
   9,629.98x = 71,496,672.59
5. Step 5: Solve for x
   x = 71,496,672.59/9,629.98
6. Step 6: Final answer
   x = 7,424.38