Finding the Fourth Proportional to 9,866.82, 13,616.61 and 5,675.07

Step by Step Solution

1. Step 1: Write the proportion equation
   9,866.82 : 13,616.61 = 5,675.07 : x
2. Step 2: Convert to fraction form
   9,866.82/13,616.61 = 5,675.07/x
3. Step 3: Cross multiply
   9,866.82x = 13,616.61 × 5,675.07
4. Step 4: Simplify right side
   9,866.82x = 77,275,214.91
5. Step 5: Solve for x
   x = 77,275,214.91/9,866.82
6. Step 6: Final answer
   x = 7,831.83