Finding the Fourth Proportional to 1,097.31, 1,646.31 and 685.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.31 : 1,646.31 = 685.88 : x
2. Step 2: Convert to fraction form
   1,097.31/1,646.31 = 685.88/x
3. Step 3: Cross multiply
   1,097.31x = 1,646.31 × 685.88
4. Step 4: Simplify right side
   1,097.31x = 1,129,171.10
5. Step 5: Solve for x
   x = 1,129,171.10/1,097.31
6. Step 6: Final answer
   x = 1,029.04