Finding the Fourth Proportional to 9,644.07, 13,308.69 and 5,665.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,644.07 : 13,308.69 = 5,665.54 : x
2. Step 2: Convert to fraction form
   9,644.07/13,308.69 = 5,665.54/x
3. Step 3: Cross multiply
   9,644.07x = 13,308.69 × 5,665.54
4. Step 4: Simplify right side
   9,644.07x = 75,400,915.54
5. Step 5: Solve for x
   x = 75,400,915.54/9,644.07
6. Step 6: Final answer
   x = 7,818.37