Finding the Fourth Proportional to 2,002.42, 3,003.65 and 541.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.42 : 3,003.65 = 541.59 : x
2. Step 2: Convert to fraction form
   2,002.42/3,003.65 = 541.59/x
3. Step 3: Cross multiply
   2,002.42x = 3,003.65 × 541.59
4. Step 4: Simplify right side
   2,002.42x = 1,626,734.86
5. Step 5: Solve for x
   x = 1,626,734.86/2,002.42
6. Step 6: Final answer
   x = 812.38