Finding the Fourth Proportional to 2,002.70, 3,004.20 and 541.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.70 : 3,004.20 = 541.83 : x
2. Step 2: Convert to fraction form
   2,002.70/3,004.20 = 541.83/x
3. Step 3: Cross multiply
   2,002.70x = 3,004.20 × 541.83
4. Step 4: Simplify right side
   2,002.70x = 1,627,756.82
5. Step 5: Solve for x
   x = 1,627,756.82/2,002.70
6. Step 6: Final answer
   x = 812.78