Finding the Fourth Proportional to 9,659.20, 13,327.94 and 5,681.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,659.20 : 13,327.94 = 5,681.10 : x
2. Step 2: Convert to fraction form
   9,659.20/13,327.94 = 5,681.10/x
3. Step 3: Cross multiply
   9,659.20x = 13,327.94 × 5,681.10
4. Step 4: Simplify right side
   9,659.20x = 75,717,359.93
5. Step 5: Solve for x
   x = 75,717,359.93/9,659.20
6. Step 6: Final answer
   x = 7,838.89