Finding the Fourth Proportional to 2,002.78, 3,003.90 and 541.99

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.78 : 3,003.90 = 541.99 : x
2. Step 2: Convert to fraction form
   2,002.78/3,003.90 = 541.99/x
3. Step 3: Cross multiply
   2,002.78x = 3,003.90 × 541.99
4. Step 4: Simplify right side
   2,002.78x = 1,628,083.76
5. Step 5: Solve for x
   x = 1,628,083.76/2,002.78
6. Step 6: Final answer
   x = 812.91