Finding the Fourth Proportional to 9,629.67, 13,288.80 and 5,380.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,629.67 : 13,288.80 = 5,380.83 : x
2. Step 2: Convert to fraction form
   9,629.67/13,288.80 = 5,380.83/x
3. Step 3: Cross multiply
   9,629.67x = 13,288.80 × 5,380.83
4. Step 4: Simplify right side
   9,629.67x = 71,504,773.70
5. Step 5: Solve for x
   x = 71,504,773.70/9,629.67
6. Step 6: Final answer
   x = 7,425.46