Finding the Fourth Proportional to 2,002.20, 2,763.50 and 1,163.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.20 : 2,763.50 = 1,163.50 : x
2. Step 2: Convert to fraction form
   2,002.20/2,763.50 = 1,163.50/x
3. Step 3: Cross multiply
   2,002.20x = 2,763.50 × 1,163.50
4. Step 4: Simplify right side
   2,002.20x = 3,215,332.25
5. Step 5: Solve for x
   x = 3,215,332.25/2,002.20
6. Step 6: Final answer
   x = 1,605.90