Finding the Fourth Proportional to 1,024.69, 1,414.34 and 632.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.69 : 1,414.34 = 632.04 : x
2. Step 2: Convert to fraction form
   1,024.69/1,414.34 = 632.04/x
3. Step 3: Cross multiply
   1,024.69x = 1,414.34 × 632.04
4. Step 4: Simplify right side
   1,024.69x = 893,919.45
5. Step 5: Solve for x
   x = 893,919.45/1,024.69
6. Step 6: Final answer
   x = 872.38