Finding the Fourth Proportional to 1,097.60, 1,643.18 and 726.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.60 : 1,643.18 = 726.72 : x
2. Step 2: Convert to fraction form
   1,097.60/1,643.18 = 726.72/x
3. Step 3: Cross multiply
   1,097.60x = 1,643.18 × 726.72
4. Step 4: Simplify right side
   1,097.60x = 1,194,128.14
5. Step 5: Solve for x
   x = 1,194,128.14/1,097.60
6. Step 6: Final answer
   x = 1,087.95