Finding the Fourth Proportional to 9,644.69, 13,310.05 and 5,665.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,644.69 : 13,310.05 = 5,665.76 : x
2. Step 2: Convert to fraction form
   9,644.69/13,310.05 = 5,665.76/x
3. Step 3: Cross multiply
   9,644.69x = 13,310.05 × 5,665.76
4. Step 4: Simplify right side
   9,644.69x = 75,411,587.64
5. Step 5: Solve for x
   x = 75,411,587.64/9,644.69
6. Step 6: Final answer
   x = 7,818.98