Finding the Fourth Proportional to 6,812.88, 9,400.73 and 3,828.15

Step by Step Solution

1. Step 1: Write the proportion equation
   6,812.88 : 9,400.73 = 3,828.15 : x
2. Step 2: Convert to fraction form
   6,812.88/9,400.73 = 3,828.15/x
3. Step 3: Cross multiply
   6,812.88x = 9,400.73 × 3,828.15
4. Step 4: Simplify right side
   6,812.88x = 35,987,404.55
5. Step 5: Solve for x
   x = 35,987,404.55/6,812.88
6. Step 6: Final answer
   x = 5,282.26