Finding the Fourth Proportional to 2,002.74, 3,004.00 and 541.79

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.74 : 3,004.00 = 541.79 : x
2. Step 2: Convert to fraction form
   2,002.74/3,004.00 = 541.79/x
3. Step 3: Cross multiply
   2,002.74x = 3,004.00 × 541.79
4. Step 4: Simplify right side
   2,002.74x = 1,627,519.43
5. Step 5: Solve for x
   x = 1,627,519.43/2,002.74
6. Step 6: Final answer
   x = 812.65