Finding the Fourth Proportional to 274,366.28, 413,605.83 and 256,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   274,366.28 : 413,605.83 = 256,077.50 : x
2. Step 2: Convert to fraction form
   274,366.28/413,605.83 = 256,077.50/x
3. Step 3: Cross multiply
   274,366.28x = 413,605.83 × 256,077.50
4. Step 4: Simplify right side
   274,366.28x = 105,915,144,863.80
5. Step 5: Solve for x
   x = 105,915,144,863.80/274,366.28
6. Step 6: Final answer
   x = 386,035.58