Finding the Fourth Proportional to 3,920.50, 5,410.54 and 2,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,920.50 : 5,410.54 = 2,264.50 : x
2. Step 2: Convert to fraction form
   3,920.50/5,410.54 = 2,264.50/x
3. Step 3: Cross multiply
   3,920.50x = 5,410.54 × 2,264.50
4. Step 4: Simplify right side
   3,920.50x = 12,252,167.83
5. Step 5: Solve for x
   x = 12,252,167.83/3,920.50
6. Step 6: Final answer
   x = 3,125.15