Finding the Fourth Proportional to 9,662.88, 13,329.90 and 5,681.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,662.88 : 13,329.90 = 5,681.46 : x
2. Step 2: Convert to fraction form
   9,662.88/13,329.90 = 5,681.46/x
3. Step 3: Cross multiply
   9,662.88x = 13,329.90 × 5,681.46
4. Step 4: Simplify right side
   9,662.88x = 75,733,293.65
5. Step 5: Solve for x
   x = 75,733,293.65/9,662.88
6. Step 6: Final answer
   x = 7,837.55