Finding the Fourth Proportional to 1,638.69, 2,456.14 and 1,022.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.69 : 2,456.14 = 1,022.55 : x
2. Step 2: Convert to fraction form
   1,638.69/2,456.14 = 1,022.55/x
3. Step 3: Cross multiply
   1,638.69x = 2,456.14 × 1,022.55
4. Step 4: Simplify right side
   1,638.69x = 2,511,525.96
5. Step 5: Solve for x
   x = 2,511,525.96/1,638.69
6. Step 6: Final answer
   x = 1,532.64