Finding the Fourth Proportional to 9,900.57, 13,659.39 and 5,648.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,900.57 : 13,659.39 = 5,648.57 : x
2. Step 2: Convert to fraction form
   9,900.57/13,659.39 = 5,648.57/x
3. Step 3: Cross multiply
   9,900.57x = 13,659.39 × 5,648.57
4. Step 4: Simplify right side
   9,900.57x = 77,155,952.28
5. Step 5: Solve for x
   x = 77,155,952.28/9,900.57
6. Step 6: Final answer
   x = 7,793.08