Finding the Fourth Proportional to 2,002.91, 3,002.64 and 769.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.91 : 3,002.64 = 769.46 : x
2. Step 2: Convert to fraction form
   2,002.91/3,002.64 = 769.46/x
3. Step 3: Cross multiply
   2,002.91x = 3,002.64 × 769.46
4. Step 4: Simplify right side
   2,002.91x = 2,310,396.36
5. Step 5: Solve for x
   x = 2,310,396.36/2,002.91
6. Step 6: Final answer
   x = 1,153.52