Finding the Fourth Proportional to 1,429.54, 2,142.35 and 689.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.54 : 2,142.35 = 689.43 : x
2. Step 2: Convert to fraction form
   1,429.54/2,142.35 = 689.43/x
3. Step 3: Cross multiply
   1,429.54x = 2,142.35 × 689.43
4. Step 4: Simplify right side
   1,429.54x = 1,477,007.53
5. Step 5: Solve for x
   x = 1,477,007.53/1,429.54
6. Step 6: Final answer
   x = 1,033.21