Finding the Fourth Proportional to 2,002.24, 3,003.02 and 541.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.24 : 3,003.02 = 541.05 : x
2. Step 2: Convert to fraction form
   2,002.24/3,003.02 = 541.05/x
3. Step 3: Cross multiply
   2,002.24x = 3,003.02 × 541.05
4. Step 4: Simplify right side
   2,002.24x = 1,624,800.41
5. Step 5: Solve for x
   x = 1,624,800.41/2,002.24
6. Step 6: Final answer
   x = 811.49