Finding the Fourth Proportional to 2,785.37, 4,178.12 and 837.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,785.37 : 4,178.12 = 837.57 : x
2. Step 2: Convert to fraction form
   2,785.37/4,178.12 = 837.57/x
3. Step 3: Cross multiply
   2,785.37x = 4,178.12 × 837.57
4. Step 4: Simplify right side
   2,785.37x = 3,499,463.78
5. Step 5: Solve for x
   x = 3,499,463.78/2,785.37
6. Step 6: Final answer
   x = 1,256.38