Finding the Fourth Proportional to 2,786.20, 4,178.69 and 837.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,786.20 : 4,178.69 = 837.74 : x
2. Step 2: Convert to fraction form
   2,786.20/4,178.69 = 837.74/x
3. Step 3: Cross multiply
   2,786.20x = 4,178.69 × 837.74
4. Step 4: Simplify right side
   2,786.20x = 3,500,665.16
5. Step 5: Solve for x
   x = 3,500,665.16/2,786.20
6. Step 6: Final answer
   x = 1,256.43