Finding the Fourth Proportional to 1,198.59, 1,796.94 and 504.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,198.59 : 1,796.94 = 504.83 : x
2. Step 2: Convert to fraction form
   1,198.59/1,796.94 = 504.83/x
3. Step 3: Cross multiply
   1,198.59x = 1,796.94 × 504.83
4. Step 4: Simplify right side
   1,198.59x = 907,149.22
5. Step 5: Solve for x
   x = 907,149.22/1,198.59
6. Step 6: Final answer
   x = 756.85