Finding the Fourth Proportional to 6,978.02, 9,629.85 and 3,834.29

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.02 : 9,629.85 = 3,834.29 : x
2. Step 2: Convert to fraction form
   6,978.02/9,629.85 = 3,834.29/x
3. Step 3: Cross multiply
   6,978.02x = 9,629.85 × 3,834.29
4. Step 4: Simplify right side
   6,978.02x = 36,923,637.56
5. Step 5: Solve for x
   x = 36,923,637.56/6,978.02
6. Step 6: Final answer
   x = 5,291.42