Finding the Fourth Proportional to 1,024.89, 1,414.06 and 632.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.89 : 1,414.06 = 632.14 : x
2. Step 2: Convert to fraction form
   1,024.89/1,414.06 = 632.14/x
3. Step 3: Cross multiply
   1,024.89x = 1,414.06 × 632.14
4. Step 4: Simplify right side
   1,024.89x = 893,878.77
5. Step 5: Solve for x
   x = 893,878.77/1,024.89
6. Step 6: Final answer
   x = 872.17