Finding the Fourth Proportional to 9,665.33, 13,321.26 and 7,773.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.33 : 13,321.26 = 7,773.57 : x
2. Step 2: Convert to fraction form
   9,665.33/13,321.26 = 7,773.57/x
3. Step 3: Cross multiply
   9,665.33x = 13,321.26 × 7,773.57
4. Step 4: Simplify right side
   9,665.33x = 103,553,747.10
5. Step 5: Solve for x
   x = 103,553,747.10/9,665.33
6. Step 6: Final answer
   x = 10,713.94