Finding the Fourth Proportional to 1,198.72, 1,654.25 and 726.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,198.72 : 1,654.25 = 726.69 : x
2. Step 2: Convert to fraction form
   1,198.72/1,654.25 = 726.69/x
3. Step 3: Cross multiply
   1,198.72x = 1,654.25 × 726.69
4. Step 4: Simplify right side
   1,198.72x = 1,202,126.93
5. Step 5: Solve for x
   x = 1,202,126.93/1,198.72
6. Step 6: Final answer
   x = 1,002.84