Finding the Fourth Proportional to 2,002.29, 3,003.78 and 964.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.29 : 3,003.78 = 964.17 : x
2. Step 2: Convert to fraction form
   2,002.29/3,003.78 = 964.17/x
3. Step 3: Cross multiply
   2,002.29x = 3,003.78 × 964.17
4. Step 4: Simplify right side
   2,002.29x = 2,896,158.18
5. Step 5: Solve for x
   x = 2,896,158.18/2,002.29
6. Step 6: Final answer
   x = 1,446.43