Finding the Fourth Proportional to 1,096.29, 1,643.18 and 685.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.29 : 1,643.18 = 685.53 : x
2. Step 2: Convert to fraction form
   1,096.29/1,643.18 = 685.53/x
3. Step 3: Cross multiply
   1,096.29x = 1,643.18 × 685.53
4. Step 4: Simplify right side
   1,096.29x = 1,126,445.76
5. Step 5: Solve for x
   x = 1,126,445.76/1,096.29
6. Step 6: Final answer
   x = 1,027.51