Finding the Fourth Proportional to 9,688.56, 14,517.72 and 7,740.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688.56 : 14,517.72 = 7,740.24 : x
2. Step 2: Convert to fraction form
   9,688.56/14,517.72 = 7,740.24/x
3. Step 3: Cross multiply
   9,688.56x = 14,517.72 × 7,740.24
4. Step 4: Simplify right side
   9,688.56x = 112,370,637.05
5. Step 5: Solve for x
   x = 112,370,637.05/9,688.56
6. Step 6: Final answer
   x = 11,598.28