Finding the Fourth Proportional to 9,566.82, 14,334 and 5,861.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,566.82 : 14,334 = 5,861.31 : x
2. Step 2: Convert to fraction form
   9,566.82/14,334 = 5,861.31/x
3. Step 3: Cross multiply
   9,566.82x = 14,334 × 5,861.31
4. Step 4: Simplify right side
   9,566.82x = 84,016,017.54
5. Step 5: Solve for x
   x = 84,016,017.54/9,566.82
6. Step 6: Final answer
   x = 8,782.02