Finding the Fourth Proportional to 1,853.98, 2,785.62 and 1,196.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,853.98 : 2,785.62 = 1,196.26 : x
2. Step 2: Convert to fraction form
   1,853.98/2,785.62 = 1,196.26/x
3. Step 3: Cross multiply
   1,853.98x = 2,785.62 × 1,196.26
4. Step 4: Simplify right side
   1,853.98x = 3,332,325.78
5. Step 5: Solve for x
   x = 3,332,325.78/1,853.98
6. Step 6: Final answer
   x = 1,797.39