Finding the Fourth Proportional to 3,541.78, 5,310.69 and 3,142.09

Step by Step Solution

1. Step 1: Write the proportion equation
   3,541.78 : 5,310.69 = 3,142.09 : x
2. Step 2: Convert to fraction form
   3,541.78/5,310.69 = 3,142.09/x
3. Step 3: Cross multiply
   3,541.78x = 5,310.69 × 3,142.09
4. Step 4: Simplify right side
   3,541.78x = 16,686,665.94
5. Step 5: Solve for x
   x = 16,686,665.94/3,541.78
6. Step 6: Final answer
   x = 4,711.38