Finding the Fourth Proportional to 2,002.01, 3,003.35 and 541.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.01 : 3,003.35 = 541.31 : x
2. Step 2: Convert to fraction form
   2,002.01/3,003.35 = 541.31/x
3. Step 3: Cross multiply
   2,002.01x = 3,003.35 × 541.31
4. Step 4: Simplify right side
   2,002.01x = 1,625,725.67
5. Step 5: Solve for x
   x = 1,625,725.67/2,002.01
6. Step 6: Final answer
   x = 812.05