Finding the Fourth Proportional to 1,061.96, 1,465.14 and 689.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.96 : 1,465.14 = 689.40 : x
2. Step 2: Convert to fraction form
   1,061.96/1,465.14 = 689.40/x
3. Step 3: Cross multiply
   1,061.96x = 1,465.14 × 689.40
4. Step 4: Simplify right side
   1,061.96x = 1,010,067.52
5. Step 5: Solve for x
   x = 1,010,067.52/1,061.96
6. Step 6: Final answer
   x = 951.14