Finding the Fourth Proportional to 1,097.33, 1,648.56 and 686.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.33 : 1,648.56 = 686.76 : x
2. Step 2: Convert to fraction form
   1,097.33/1,648.56 = 686.76/x
3. Step 3: Cross multiply
   1,097.33x = 1,648.56 × 686.76
4. Step 4: Simplify right side
   1,097.33x = 1,132,165.07
5. Step 5: Solve for x
   x = 1,132,165.07/1,097.33
6. Step 6: Final answer
   x = 1,031.75