Finding the Fourth Proportional to 1,025.82, 1,414.62 and 632.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.82 : 1,414.62 = 632.76 : x
2. Step 2: Convert to fraction form
   1,025.82/1,414.62 = 632.76/x
3. Step 3: Cross multiply
   1,025.82x = 1,414.62 × 632.76
4. Step 4: Simplify right side
   1,025.82x = 895,114.95
5. Step 5: Solve for x
   x = 895,114.95/1,025.82
6. Step 6: Final answer
   x = 872.58