Finding the Fourth Proportional to 1,198.37, 1,798.77 and 765.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,198.37 : 1,798.77 = 765.83 : x
2. Step 2: Convert to fraction form
   1,198.37/1,798.77 = 765.83/x
3. Step 3: Cross multiply
   1,198.37x = 1,798.77 × 765.83
4. Step 4: Simplify right side
   1,198.37x = 1,377,552.03
5. Step 5: Solve for x
   x = 1,377,552.03/1,198.37
6. Step 6: Final answer
   x = 1,149.52