Finding the Fourth Proportional to 9,665.33, 13,335.03 and 5,687.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.33 : 13,335.03 = 5,687.42 : x
2. Step 2: Convert to fraction form
   9,665.33/13,335.03 = 5,687.42/x
3. Step 3: Cross multiply
   9,665.33x = 13,335.03 × 5,687.42
4. Step 4: Simplify right side
   9,665.33x = 75,841,849.65
5. Step 5: Solve for x
   x = 75,841,849.65/9,665.33
6. Step 6: Final answer
   x = 7,846.80