Finding the Fourth Proportional to 12,853.50, 17,737.86 and 7,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,853.50 : 17,737.86 = 7,264.50 : x
2. Step 2: Convert to fraction form
   12,853.50/17,737.86 = 7,264.50/x
3. Step 3: Cross multiply
   12,853.50x = 17,737.86 × 7,264.50
4. Step 4: Simplify right side
   12,853.50x = 128,856,683.97
5. Step 5: Solve for x
   x = 128,856,683.97/12,853.50
6. Step 6: Final answer
   x = 10,025.03