Finding the Fourth Proportional to 2,002.06, 3,003.27 and 541.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.06 : 3,003.27 = 541.23 : x
2. Step 2: Convert to fraction form
   2,002.06/3,003.27 = 541.23/x
3. Step 3: Cross multiply
   2,002.06x = 3,003.27 × 541.23
4. Step 4: Simplify right side
   2,002.06x = 1,625,459.82
5. Step 5: Solve for x
   x = 1,625,459.82/2,002.06
6. Step 6: Final answer
   x = 811.89