Finding the Fourth Proportional to 2,002.29, 3,003.03 and 769.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.29 : 3,003.03 = 769.92 : x
2. Step 2: Convert to fraction form
   2,002.29/3,003.03 = 769.92/x
3. Step 3: Cross multiply
   2,002.29x = 3,003.03 × 769.92
4. Step 4: Simplify right side
   2,002.29x = 2,312,092.86
5. Step 5: Solve for x
   x = 2,312,092.86/2,002.29
6. Step 6: Final answer
   x = 1,154.72