Finding the Fourth Proportional to 2,002.12, 3,003.24 and 541.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.12 : 3,003.24 = 541.28 : x
2. Step 2: Convert to fraction form
   2,002.12/3,003.24 = 541.28/x
3. Step 3: Cross multiply
   2,002.12x = 3,003.24 × 541.28
4. Step 4: Simplify right side
   2,002.12x = 1,625,603.29
5. Step 5: Solve for x
   x = 1,625,603.29/2,002.12
6. Step 6: Final answer
   x = 811.94