Finding the Fourth Proportional to 2,002.31, 3,003.09 and 541.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.31 : 3,003.09 = 541.58 : x
2. Step 2: Convert to fraction form
   2,002.31/3,003.09 = 541.58/x
3. Step 3: Cross multiply
   2,002.31x = 3,003.09 × 541.58
4. Step 4: Simplify right side
   2,002.31x = 1,626,398.47
5. Step 5: Solve for x
   x = 1,626,398.47/2,002.31
6. Step 6: Final answer
   x = 812.26