Finding the Fourth Proportional to 1,096.29, 1,646.55 and 686.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.29 : 1,646.55 = 686.25 : x
2. Step 2: Convert to fraction form
   1,096.29/1,646.55 = 686.25/x
3. Step 3: Cross multiply
   1,096.29x = 1,646.55 × 686.25
4. Step 4: Simplify right side
   1,096.29x = 1,129,944.94
5. Step 5: Solve for x
   x = 1,129,944.94/1,096.29
6. Step 6: Final answer
   x = 1,030.70