Finding the Fourth Proportional to 9,839.56, 13,597.14 and 7,760.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.56 : 13,597.14 = 7,760.20 : x
2. Step 2: Convert to fraction form
   9,839.56/13,597.14 = 7,760.20/x
3. Step 3: Cross multiply
   9,839.56x = 13,597.14 × 7,760.20
4. Step 4: Simplify right side
   9,839.56x = 105,516,525.83
5. Step 5: Solve for x
   x = 105,516,525.83/9,839.56
6. Step 6: Final answer
   x = 10,723.70