Finding the Fourth Proportional to 2,677.43, 4,016.27 and 828.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,677.43 : 4,016.27 = 828.74 : x
2. Step 2: Convert to fraction form
   2,677.43/4,016.27 = 828.74/x
3. Step 3: Cross multiply
   2,677.43x = 4,016.27 × 828.74
4. Step 4: Simplify right side
   2,677.43x = 3,328,419.37
5. Step 5: Solve for x
   x = 3,328,419.37/2,677.43
6. Step 6: Final answer
   x = 1,243.14