Finding the Fourth Proportional to 7,020.57, 9,688.50 and 3,876.78

Step by Step Solution

1. Step 1: Write the proportion equation
   7,020.57 : 9,688.50 = 3,876.78 : x
2. Step 2: Convert to fraction form
   7,020.57/9,688.50 = 3,876.78/x
3. Step 3: Cross multiply
   7,020.57x = 9,688.50 × 3,876.78
4. Step 4: Simplify right side
   7,020.57x = 37,560,183.03
5. Step 5: Solve for x
   x = 37,560,183.03/7,020.57
6. Step 6: Final answer
   x = 5,350.02