Finding the Fourth Proportional to 2,002.29, 3,003.43 and 541.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.29 : 3,003.43 = 541.59 : x
2. Step 2: Convert to fraction form
   2,002.29/3,003.43 = 541.59/x
3. Step 3: Cross multiply
   2,002.29x = 3,003.43 × 541.59
4. Step 4: Simplify right side
   2,002.29x = 1,626,616.05
5. Step 5: Solve for x
   x = 1,626,616.05/2,002.29
6. Step 6: Final answer
   x = 812.38