Finding the Fourth Proportional to 2,781.78, 4,171.42 and 834.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,781.78 : 4,171.42 = 834.13 : x
2. Step 2: Convert to fraction form
   2,781.78/4,171.42 = 834.13/x
3. Step 3: Cross multiply
   2,781.78x = 4,171.42 × 834.13
4. Step 4: Simplify right side
   2,781.78x = 3,479,506.56
5. Step 5: Solve for x
   x = 3,479,506.56/2,781.78
6. Step 6: Final answer
   x = 1,250.82