Finding the Fourth Proportional to 9,899.43, 13,659.48 and 5,648.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,899.43 : 13,659.48 = 5,648.55 : x
2. Step 2: Convert to fraction form
   9,899.43/13,659.48 = 5,648.55/x
3. Step 3: Cross multiply
   9,899.43x = 13,659.48 × 5,648.55
4. Step 4: Simplify right side
   9,899.43x = 77,156,255.75
5. Step 5: Solve for x
   x = 77,156,255.75/9,899.43
6. Step 6: Final answer
   x = 7,794.01