Finding the Fourth Proportional to 6,978.09, 9,629.82 and 3,834.29

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.09 : 9,629.82 = 3,834.29 : x
2. Step 2: Convert to fraction form
   6,978.09/9,629.82 = 3,834.29/x
3. Step 3: Cross multiply
   6,978.09x = 9,629.82 × 3,834.29
4. Step 4: Simplify right side
   6,978.09x = 36,923,474.38
5. Step 5: Solve for x
   x = 36,923,474.38/6,978.09
6. Step 6: Final answer
   x = 5,291.34