Finding the Fourth Proportional to 1,026.30, 1,414.83 and 633.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.30 : 1,414.83 = 633.06 : x
2. Step 2: Convert to fraction form
   1,026.30/1,414.83 = 633.06/x
3. Step 3: Cross multiply
   1,026.30x = 1,414.83 × 633.06
4. Step 4: Simplify right side
   1,026.30x = 895,672.28
5. Step 5: Solve for x
   x = 895,672.28/1,026.30
6. Step 6: Final answer
   x = 872.72