Finding the Fourth Proportional to 2,002.49, 3,003.80 and 769.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.49 : 3,003.80 = 769.62 : x
2. Step 2: Convert to fraction form
   2,002.49/3,003.80 = 769.62/x
3. Step 3: Cross multiply
   2,002.49x = 3,003.80 × 769.62
4. Step 4: Simplify right side
   2,002.49x = 2,311,780.71
5. Step 5: Solve for x
   x = 2,311,780.71/2,002.49
6. Step 6: Final answer
   x = 1,154.46