Finding the Fourth Proportional to 7,020.81, 9,688.41 and 3,834.02

Step by Step Solution

1. Step 1: Write the proportion equation
   7,020.81 : 9,688.41 = 3,834.02 : x
2. Step 2: Convert to fraction form
   7,020.81/9,688.41 = 3,834.02/x
3. Step 3: Cross multiply
   7,020.81x = 9,688.41 × 3,834.02
4. Step 4: Simplify right side
   7,020.81x = 37,145,581.93
5. Step 5: Solve for x
   x = 37,145,581.93/7,020.81
6. Step 6: Final answer
   x = 5,290.78