Finding the Fourth Proportional to 9,899.96, 13,658.55 and 5,647.97

Step by Step Solution

1. Step 1: Write the proportion equation
   9,899.96 : 13,658.55 = 5,647.97 : x
2. Step 2: Convert to fraction form
   9,899.96/13,658.55 = 5,647.97/x
3. Step 3: Cross multiply
   9,899.96x = 13,658.55 × 5,647.97
4. Step 4: Simplify right side
   9,899.96x = 77,143,080.64
5. Step 5: Solve for x
   x = 77,143,080.64/9,899.96
6. Step 6: Final answer
   x = 7,792.26