Finding the Fourth Proportional to 2,557.72, 3,836.70 and 827.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.72 : 3,836.70 = 827.56 : x
2. Step 2: Convert to fraction form
   2,557.72/3,836.70 = 827.56/x
3. Step 3: Cross multiply
   2,557.72x = 3,836.70 × 827.56
4. Step 4: Simplify right side
   2,557.72x = 3,175,099.45
5. Step 5: Solve for x
   x = 3,175,099.45/2,557.72
6. Step 6: Final answer
   x = 1,241.38