Finding the Fourth Proportional to 2,002.28, 3,003.23 and 1,419.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.28 : 3,003.23 = 1,419.77 : x
2. Step 2: Convert to fraction form
   2,002.28/3,003.23 = 1,419.77/x
3. Step 3: Cross multiply
   2,002.28x = 3,003.23 × 1,419.77
4. Step 4: Simplify right side
   2,002.28x = 4,263,906.91
5. Step 5: Solve for x
   x = 4,263,906.91/2,002.28
6. Step 6: Final answer
   x = 2,129.53