Finding the Fourth Proportional to 6,978.30, 9,629.98 and 3,834.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.30 : 9,629.98 = 3,834.42 : x
2. Step 2: Convert to fraction form
   6,978.30/9,629.98 = 3,834.42/x
3. Step 3: Cross multiply
   6,978.30x = 9,629.98 × 3,834.42
4. Step 4: Simplify right side
   6,978.30x = 36,925,320.59
5. Step 5: Solve for x
   x = 36,925,320.59/6,978.30
6. Step 6: Final answer
   x = 5,291.45