Finding the Fourth Proportional to 6,978.48, 9,630.48 and 3,834.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.48 : 9,630.48 = 3,834.72 : x
2. Step 2: Convert to fraction form
   6,978.48/9,630.48 = 3,834.72/x
3. Step 3: Cross multiply
   6,978.48x = 9,630.48 × 3,834.72
4. Step 4: Simplify right side
   6,978.48x = 36,930,194.27
5. Step 5: Solve for x
   x = 36,930,194.27/6,978.48
6. Step 6: Final answer
   x = 5,292.01