Finding the Fourth Proportional to 2,558.63, 3,838.55 and 827.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,558.63 : 3,838.55 = 827.25 : x
2. Step 2: Convert to fraction form
   2,558.63/3,838.55 = 827.25/x
3. Step 3: Cross multiply
   2,558.63x = 3,838.55 × 827.25
4. Step 4: Simplify right side
   2,558.63x = 3,175,436.35
5. Step 5: Solve for x
   x = 3,175,436.35/2,558.63
6. Step 6: Final answer
   x = 1,241.07