Finding the Fourth Proportional to 9,644.00, 13,308.30 and 5,665.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,644.00 : 13,308.30 = 5,665.55 : x
2. Step 2: Convert to fraction form
   9,644.00/13,308.30 = 5,665.55/x
3. Step 3: Cross multiply
   9,644.00x = 13,308.30 × 5,665.55
4. Step 4: Simplify right side
   9,644.00x = 75,398,772.52
5. Step 5: Solve for x
   x = 75,398,772.52/9,644.00
6. Step 6: Final answer
   x = 7,818.21