Finding the Fourth Proportional to 9,757.97, 13,467.82 and 5,566.22

Step by Step Solution

1. Step 1: Write the proportion equation
   9,757.97 : 13,467.82 = 5,566.22 : x
2. Step 2: Convert to fraction form
   9,757.97/13,467.82 = 5,566.22/x
3. Step 3: Cross multiply
   9,757.97x = 13,467.82 × 5,566.22
4. Step 4: Simplify right side
   9,757.97x = 74,964,828.73
5. Step 5: Solve for x
   x = 74,964,828.73/9,757.97
6. Step 6: Final answer
   x = 7,682.42