Finding the Fourth Proportional to 2,002.82, 3,002.17 and 769.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.82 : 3,002.17 = 769.91 : x
2. Step 2: Convert to fraction form
   2,002.82/3,002.17 = 769.91/x
3. Step 3: Cross multiply
   2,002.82x = 3,002.17 × 769.91
4. Step 4: Simplify right side
   2,002.82x = 2,311,400.70
5. Step 5: Solve for x
   x = 2,311,400.70/2,002.82
6. Step 6: Final answer
   x = 1,154.07