Finding the Fourth Proportional to 9,644.27, 13,308.84 and 5,665.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,644.27 : 13,308.84 = 5,665.28 : x
2. Step 2: Convert to fraction form
   9,644.27/13,308.84 = 5,665.28/x
3. Step 3: Cross multiply
   9,644.27x = 13,308.84 × 5,665.28
4. Step 4: Simplify right side
   9,644.27x = 75,398,238.53
5. Step 5: Solve for x
   x = 75,398,238.53/9,644.27
6. Step 6: Final answer
   x = 7,817.94