Finding the Fourth Proportional to 2,002.30, 2,762.15 and 1,643.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.30 : 2,762.15 = 1,643.90 : x
2. Step 2: Convert to fraction form
   2,002.30/2,762.15 = 1,643.90/x
3. Step 3: Cross multiply
   2,002.30x = 2,762.15 × 1,643.90
4. Step 4: Simplify right side
   2,002.30x = 4,540,698.39
5. Step 5: Solve for x
   x = 4,540,698.39/2,002.30
6. Step 6: Final answer
   x = 2,267.74