Finding the Fourth Proportional to 1,638.36, 2,456.82 and 1,022.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.36 : 2,456.82 = 1,022.04 : x
2. Step 2: Convert to fraction form
   1,638.36/2,456.82 = 1,022.04/x
3. Step 3: Cross multiply
   1,638.36x = 2,456.82 × 1,022.04
4. Step 4: Simplify right side
   1,638.36x = 2,510,968.31
5. Step 5: Solve for x
   x = 2,510,968.31/1,638.36
6. Step 6: Final answer
   x = 1,532.61