Finding the Fourth Proportional to 6,978.48, 9,630.45 and 3,834.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.48 : 9,630.45 = 3,834.69 : x
2. Step 2: Convert to fraction form
   6,978.48/9,630.45 = 3,834.69/x
3. Step 3: Cross multiply
   6,978.48x = 9,630.45 × 3,834.69
4. Step 4: Simplify right side
   6,978.48x = 36,929,790.31
5. Step 5: Solve for x
   x = 36,929,790.31/6,978.48
6. Step 6: Final answer
   x = 5,291.95