Finding the Fourth Proportional to 1,035.98, 1,429.71 and 686.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,035.98 : 1,429.71 = 686.42 : x
2. Step 2: Convert to fraction form
   1,035.98/1,429.71 = 686.42/x
3. Step 3: Cross multiply
   1,035.98x = 1,429.71 × 686.42
4. Step 4: Simplify right side
   1,035.98x = 981,381.54
5. Step 5: Solve for x
   x = 981,381.54/1,035.98
6. Step 6: Final answer
   x = 947.30