Finding the Fourth Proportional to 9,644.62, 13,309.67 and 5,665.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,644.62 : 13,309.67 = 5,665.80 : x
2. Step 2: Convert to fraction form
   9,644.62/13,309.67 = 5,665.80/x
3. Step 3: Cross multiply
   9,644.62x = 13,309.67 × 5,665.80
4. Step 4: Simplify right side
   9,644.62x = 75,409,928.29
5. Step 5: Solve for x
   x = 75,409,928.29/9,644.62
6. Step 6: Final answer
   x = 7,818.86