Finding the Fourth Proportional to 7,124.72, 9,829.71 and 4,138.10

Step by Step Solution

1. Step 1: Write the proportion equation
   7,124.72 : 9,829.71 = 4,138.10 : x
2. Step 2: Convert to fraction form
   7,124.72/9,829.71 = 4,138.10/x
3. Step 3: Cross multiply
   7,124.72x = 9,829.71 × 4,138.10
4. Step 4: Simplify right side
   7,124.72x = 40,676,327.40
5. Step 5: Solve for x
   x = 40,676,327.40/7,124.72
6. Step 6: Final answer
   x = 5,709.18