Finding the Fourth Proportional to 6,812.56, 9,401.42 and 3,828.22

Step by Step Solution

1. Step 1: Write the proportion equation
   6,812.56 : 9,401.42 = 3,828.22 : x
2. Step 2: Convert to fraction form
   6,812.56/9,401.42 = 3,828.22/x
3. Step 3: Cross multiply
   6,812.56x = 9,401.42 × 3,828.22
4. Step 4: Simplify right side
   6,812.56x = 35,990,704.07
5. Step 5: Solve for x
   x = 35,990,704.07/6,812.56
6. Step 6: Final answer
   x = 5,282.99