Finding the Fourth Proportional to 1,429.22, 2,142.83 and 688.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.22 : 2,142.83 = 688.43 : x
2. Step 2: Convert to fraction form
   1,429.22/2,142.83 = 688.43/x
3. Step 3: Cross multiply
   1,429.22x = 2,142.83 × 688.43
4. Step 4: Simplify right side
   1,429.22x = 1,475,195.54
5. Step 5: Solve for x
   x = 1,475,195.54/1,429.22
6. Step 6: Final answer
   x = 1,032.17