Finding the Fourth Proportional to 9,644.82, 13,307.42 and 5,665.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,644.82 : 13,307.42 = 5,665.16 : x
2. Step 2: Convert to fraction form
   9,644.82/13,307.42 = 5,665.16/x
3. Step 3: Cross multiply
   9,644.82x = 13,307.42 × 5,665.16
4. Step 4: Simplify right side
   9,644.82x = 75,388,568.62
5. Step 5: Solve for x
   x = 75,388,568.62/9,644.82
6. Step 6: Final answer
   x = 7,816.48