Finding the Fourth Proportional to 2,002.10, 2,763.06 and 1,163.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.10 : 2,763.06 = 1,163.06 : x
2. Step 2: Convert to fraction form
   2,002.10/2,763.06 = 1,163.06/x
3. Step 3: Cross multiply
   2,002.10x = 2,763.06 × 1,163.06
4. Step 4: Simplify right side
   2,002.10x = 3,213,604.56
5. Step 5: Solve for x
   x = 3,213,604.56/2,002.10
6. Step 6: Final answer
   x = 1,605.12