Finding the Fourth Proportional to 1,198.13, 1,653.59 and 726.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,198.13 : 1,653.59 = 726.05 : x
2. Step 2: Convert to fraction form
   1,198.13/1,653.59 = 726.05/x
3. Step 3: Cross multiply
   1,198.13x = 1,653.59 × 726.05
4. Step 4: Simplify right side
   1,198.13x = 1,200,589.02
5. Step 5: Solve for x
   x = 1,200,589.02/1,198.13
6. Step 6: Final answer
   x = 1,002.05