Finding the Fourth Proportional to 10,789.24, 14,893.76 and 7,254.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,789.24 : 14,893.76 = 7,254.50 : x
2. Step 2: Convert to fraction form
   10,789.24/14,893.76 = 7,254.50/x
3. Step 3: Cross multiply
   10,789.24x = 14,893.76 × 7,254.50
4. Step 4: Simplify right side
   10,789.24x = 108,046,781.92
5. Step 5: Solve for x
   x = 108,046,781.92/10,789.24
6. Step 6: Final answer
   x = 10,014.31