Finding the Fourth Proportional to 2,002.56, 2,763.69 and 1,163.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.56 : 2,763.69 = 1,163.53 : x
2. Step 2: Convert to fraction form
   2,002.56/2,763.69 = 1,163.53/x
3. Step 3: Cross multiply
   2,002.56x = 2,763.69 × 1,163.53
4. Step 4: Simplify right side
   2,002.56x = 3,215,635.32
5. Step 5: Solve for x
   x = 3,215,635.32/2,002.56
6. Step 6: Final answer
   x = 1,605.77