Finding the Fourth Proportional to 9,644.02, 13,308.87 and 5,665.21

Step by Step Solution

1. Step 1: Write the proportion equation
   9,644.02 : 13,308.87 = 5,665.21 : x
2. Step 2: Convert to fraction form
   9,644.02/13,308.87 = 5,665.21/x
3. Step 3: Cross multiply
   9,644.02x = 13,308.87 × 5,665.21
4. Step 4: Simplify right side
   9,644.02x = 75,397,543.41
5. Step 5: Solve for x
   x = 75,397,543.41/9,644.02
6. Step 6: Final answer
   x = 7,818.06