Finding the Fourth Proportional to 2,002.78, 2,763.55 and 1,163.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.78 : 2,763.55 = 1,163.42 : x
2. Step 2: Convert to fraction form
   2,002.78/2,763.55 = 1,163.42/x
3. Step 3: Cross multiply
   2,002.78x = 2,763.55 × 1,163.42
4. Step 4: Simplify right side
   2,002.78x = 3,215,169.34
5. Step 5: Solve for x
   x = 3,215,169.34/2,002.78
6. Step 6: Final answer
   x = 1,605.35