Finding the Fourth Proportional to 9,502.91, 14,243.42 and 5,111.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,502.91 : 14,243.42 = 5,111.15 : x
2. Step 2: Convert to fraction form
   9,502.91/14,243.42 = 5,111.15/x
3. Step 3: Cross multiply
   9,502.91x = 14,243.42 × 5,111.15
4. Step 4: Simplify right side
   9,502.91x = 72,800,197.69
5. Step 5: Solve for x
   x = 72,800,197.69/9,502.91
6. Step 6: Final answer
   x = 7,660.83