Finding the Fourth Proportional to 2,002.80, 3,000.15 and 1,638.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.80 : 3,000.15 = 1,638.30 : x
2. Step 2: Convert to fraction form
   2,002.80/3,000.15 = 1,638.30/x
3. Step 3: Cross multiply
   2,002.80x = 3,000.15 × 1,638.30
4. Step 4: Simplify right side
   2,002.80x = 4,915,145.75
5. Step 5: Solve for x
   x = 4,915,145.75/2,002.80
6. Step 6: Final answer
   x = 2,454.14