Finding the Fourth Proportional to 9,757.72, 13,466.82 and 5,566.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,757.72 : 13,466.82 = 5,566.78 : x
2. Step 2: Convert to fraction form
   9,757.72/13,466.82 = 5,566.78/x
3. Step 3: Cross multiply
   9,757.72x = 13,466.82 × 5,566.78
4. Step 4: Simplify right side
   9,757.72x = 74,966,824.24
5. Step 5: Solve for x
   x = 74,966,824.24/9,757.72
6. Step 6: Final answer
   x = 7,682.82