Finding the Fourth Proportional to 2,002.73, 3,004.07 and 541.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.73 : 3,004.07 = 541.88 : x
2. Step 2: Convert to fraction form
   2,002.73/3,004.07 = 541.88/x
3. Step 3: Cross multiply
   2,002.73x = 3,004.07 × 541.88
4. Step 4: Simplify right side
   2,002.73x = 1,627,831.79
5. Step 5: Solve for x
   x = 1,627,831.79/2,002.73
6. Step 6: Final answer
   x = 812.81