Finding the Fourth Proportional to 9,665.27, 13,339.31 and 5,686.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.27 : 13,339.31 = 5,686.75 : x
2. Step 2: Convert to fraction form
   9,665.27/13,339.31 = 5,686.75/x
3. Step 3: Cross multiply
   9,665.27x = 13,339.31 × 5,686.75
4. Step 4: Simplify right side
   9,665.27x = 75,857,321.14
5. Step 5: Solve for x
   x = 75,857,321.14/9,665.27
6. Step 6: Final answer
   x = 7,848.44