Finding the Fourth Proportional to 1,085.97, 1,498.16 and 726.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.97 : 1,498.16 = 726.63 : x
2. Step 2: Convert to fraction form
   1,085.97/1,498.16 = 726.63/x
3. Step 3: Cross multiply
   1,085.97x = 1,498.16 × 726.63
4. Step 4: Simplify right side
   1,085.97x = 1,088,602.33
5. Step 5: Solve for x
   x = 1,088,602.33/1,085.97
6. Step 6: Final answer
   x = 1,002.43