Finding the Fourth Proportional to 33,835.50, 50,760.25 and 10,142.09

Step by Step Solution

1. Step 1: Write the proportion equation
   33,835.50 : 50,760.25 = 10,142.09 : x
2. Step 2: Convert to fraction form
   33,835.50/50,760.25 = 10,142.09/x
3. Step 3: Cross multiply
   33,835.50x = 50,760.25 × 10,142.09
4. Step 4: Simplify right side
   33,835.50x = 514,815,023.92
5. Step 5: Solve for x
   x = 514,815,023.92/33,835.50
6. Step 6: Final answer
   x = 15,215.23