Finding the Fourth Proportional to 2,494.16, 3,740.32 and 827.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,494.16 : 3,740.32 = 827.98 : x
2. Step 2: Convert to fraction form
   2,494.16/3,740.32 = 827.98/x
3. Step 3: Cross multiply
   2,494.16x = 3,740.32 × 827.98
4. Step 4: Simplify right side
   2,494.16x = 3,096,910.15
5. Step 5: Solve for x
   x = 3,096,910.15/2,494.16
6. Step 6: Final answer
   x = 1,241.66