Finding the Fourth Proportional to 2,002.53, 2,763.31 and 1,163.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.53 : 2,763.31 = 1,163.22 : x
2. Step 2: Convert to fraction form
   2,002.53/2,763.31 = 1,163.22/x
3. Step 3: Cross multiply
   2,002.53x = 2,763.31 × 1,163.22
4. Step 4: Simplify right side
   2,002.53x = 3,214,334.55
5. Step 5: Solve for x
   x = 3,214,334.55/2,002.53
6. Step 6: Final answer
   x = 1,605.13