Finding the Fourth Proportional to 2,002.68, 3,004.04 and 541.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.68 : 3,004.04 = 541.72 : x
2. Step 2: Convert to fraction form
   2,002.68/3,004.04 = 541.72/x
3. Step 3: Cross multiply
   2,002.68x = 3,004.04 × 541.72
4. Step 4: Simplify right side
   2,002.68x = 1,627,348.55
5. Step 5: Solve for x
   x = 1,627,348.55/2,002.68
6. Step 6: Final answer
   x = 812.59