Finding the Fourth Proportional to 2,786.83, 4,180.27 and 1,205.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,786.83 : 4,180.27 = 1,205.25 : x
2. Step 2: Convert to fraction form
   2,786.83/4,180.27 = 1,205.25/x
3. Step 3: Cross multiply
   2,786.83x = 4,180.27 × 1,205.25
4. Step 4: Simplify right side
   2,786.83x = 5,038,290.95
5. Step 5: Solve for x
   x = 5,038,290.95/2,786.83
6. Step 6: Final answer
   x = 1,807.89