Finding the Fourth Proportional to 2,558.52, 3,838.77 and 827.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,558.52 : 3,838.77 = 827.15 : x
2. Step 2: Convert to fraction form
   2,558.52/3,838.77 = 827.15/x
3. Step 3: Cross multiply
   2,558.52x = 3,838.77 × 827.15
4. Step 4: Simplify right side
   2,558.52x = 3,175,219.41
5. Step 5: Solve for x
   x = 3,175,219.41/2,558.52
6. Step 6: Final answer
   x = 1,241.04