Finding the Fourth Proportional to 1,466.50, 2,022.82 and 1,024.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,466.50 : 2,022.82 = 1,024.24 : x
2. Step 2: Convert to fraction form
   1,466.50/2,022.82 = 1,024.24/x
3. Step 3: Cross multiply
   1,466.50x = 2,022.82 × 1,024.24
4. Step 4: Simplify right side
   1,466.50x = 2,071,853.16
5. Step 5: Solve for x
   x = 2,071,853.16/1,466.50
6. Step 6: Final answer
   x = 1,412.79