Finding the Fourth Proportional to 6,978.27, 9,630.18 and 3,834.54

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.27 : 9,630.18 = 3,834.54 : x
2. Step 2: Convert to fraction form
   6,978.27/9,630.18 = 3,834.54/x
3. Step 3: Cross multiply
   6,978.27x = 9,630.18 × 3,834.54
4. Step 4: Simplify right side
   6,978.27x = 36,927,310.42
5. Step 5: Solve for x
   x = 36,927,310.42/6,978.27
6. Step 6: Final answer
   x = 5,291.76