Finding the Fourth Proportional to 2,002.32, 3,001.41 and 769.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.32 : 3,001.41 = 769.41 : x
2. Step 2: Convert to fraction form
   2,002.32/3,001.41 = 769.41/x
3. Step 3: Cross multiply
   2,002.32x = 3,001.41 × 769.41
4. Step 4: Simplify right side
   2,002.32x = 2,309,314.87
5. Step 5: Solve for x
   x = 2,309,314.87/2,002.32
6. Step 6: Final answer
   x = 1,153.32