Finding the Fourth Proportional to 9,610.97, 13,264.17 and 5,635.43

Step by Step Solution

1. Step 1: Write the proportion equation
   9,610.97 : 13,264.17 = 5,635.43 : x
2. Step 2: Convert to fraction form
   9,610.97/13,264.17 = 5,635.43/x
3. Step 3: Cross multiply
   9,610.97x = 13,264.17 × 5,635.43
4. Step 4: Simplify right side
   9,610.97x = 74,749,301.54
5. Step 5: Solve for x
   x = 74,749,301.54/9,610.97
6. Step 6: Final answer
   x = 7,777.50