Finding the Fourth Proportional to 2,002.44, 3,003.77 and 769.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.44 : 3,003.77 = 769.42 : x
2. Step 2: Convert to fraction form
   2,002.44/3,003.77 = 769.42/x
3. Step 3: Cross multiply
   2,002.44x = 3,003.77 × 769.42
4. Step 4: Simplify right side
   2,002.44x = 2,311,160.71
5. Step 5: Solve for x
   x = 2,311,160.71/2,002.44
6. Step 6: Final answer
   x = 1,154.17