Finding the Fourth Proportional to 1,198.53, 1,796.67 and 418.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,198.53 : 1,796.67 = 418.05 : x
2. Step 2: Convert to fraction form
   1,198.53/1,796.67 = 418.05/x
3. Step 3: Cross multiply
   1,198.53x = 1,796.67 × 418.05
4. Step 4: Simplify right side
   1,198.53x = 751,097.89
5. Step 5: Solve for x
   x = 751,097.89/1,198.53
6. Step 6: Final answer
   x = 626.68