Finding the Fourth Proportional to 9,866.25, 13,616.18 and 5,618.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,866.25 : 13,616.18 = 5,618.69 : x
2. Step 2: Convert to fraction form
   9,866.25/13,616.18 = 5,618.69/x
3. Step 3: Cross multiply
   9,866.25x = 13,616.18 × 5,618.69
4. Step 4: Simplify right side
   9,866.25x = 76,504,998.23
5. Step 5: Solve for x
   x = 76,504,998.23/9,866.25
6. Step 6: Final answer
   x = 7,754.21