Finding the Fourth Proportional to 1,198.20, 1,796.72 and 418.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,198.20 : 1,796.72 = 418.10 : x
2. Step 2: Convert to fraction form
   1,198.20/1,796.72 = 418.10/x
3. Step 3: Cross multiply
   1,198.20x = 1,796.72 × 418.10
4. Step 4: Simplify right side
   1,198.20x = 751,216.83
5. Step 5: Solve for x
   x = 751,216.83/1,198.20
6. Step 6: Final answer
   x = 626.96