Finding the Fourth Proportional to 9,429.24, 13,015.86 and 8,097.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,429.24 : 13,015.86 = 8,097.60 : x
2. Step 2: Convert to fraction form
   9,429.24/13,015.86 = 8,097.60/x
3. Step 3: Cross multiply
   9,429.24x = 13,015.86 × 8,097.60
4. Step 4: Simplify right side
   9,429.24x = 105,397,227.94
5. Step 5: Solve for x
   x = 105,397,227.94/9,429.24
6. Step 6: Final answer
   x = 11,177.70