Finding the Fourth Proportional to 9,645.65, 13,308.96 and 5,665.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645.65 : 13,308.96 = 5,665.31 : x
2. Step 2: Convert to fraction form
   9,645.65/13,308.96 = 5,665.31/x
3. Step 3: Cross multiply
   9,645.65x = 13,308.96 × 5,665.31
4. Step 4: Simplify right side
   9,645.65x = 75,399,384.18
5. Step 5: Solve for x
   x = 75,399,384.18/9,645.65
6. Step 6: Final answer
   x = 7,816.93