Finding the Fourth Proportional to 59,509.10, 82,122.56 and 34,016

Step by Step Solution

1. Step 1: Write the proportion equation
   59,509.10 : 82,122.56 = 34,016 : x
2. Step 2: Convert to fraction form
   59,509.10/82,122.56 = 34,016/x
3. Step 3: Cross multiply
   59,509.10x = 82,122.56 × 34,016
4. Step 4: Simplify right side
   59,509.10x = 2,793,481,000.96
5. Step 5: Solve for x
   x = 2,793,481,000.96/59,509.10
6. Step 6: Final answer
   x = 46,942.08