Finding the Fourth Proportional to 2,002.28, 3,003.15 and 541.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.28 : 3,003.15 = 541.49 : x
2. Step 2: Convert to fraction form
   2,002.28/3,003.15 = 541.49/x
3. Step 3: Cross multiply
   2,002.28x = 3,003.15 × 541.49
4. Step 4: Simplify right side
   2,002.28x = 1,626,175.69
5. Step 5: Solve for x
   x = 1,626,175.69/2,002.28
6. Step 6: Final answer
   x = 812.16