Finding the Fourth Proportional to 7,016.14, 9,682.24 and 3,829.42

Step by Step Solution

1. Step 1: Write the proportion equation
   7,016.14 : 9,682.24 = 3,829.42 : x
2. Step 2: Convert to fraction form
   7,016.14/9,682.24 = 3,829.42/x
3. Step 3: Cross multiply
   7,016.14x = 9,682.24 × 3,829.42
4. Step 4: Simplify right side
   7,016.14x = 37,077,363.50
5. Step 5: Solve for x
   x = 37,077,363.50/7,016.14
6. Step 6: Final answer
   x = 5,284.58