Finding the Fourth Proportional to 2,002.66, 2,763.22 and 1,162.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.66 : 2,763.22 = 1,162.89 : x
2. Step 2: Convert to fraction form
   2,002.66/2,763.22 = 1,162.89/x
3. Step 3: Cross multiply
   2,002.66x = 2,763.22 × 1,162.89
4. Step 4: Simplify right side
   2,002.66x = 3,213,320.91
5. Step 5: Solve for x
   x = 3,213,320.91/2,002.66
6. Step 6: Final answer
   x = 1,604.53