Finding the Fourth Proportional to 6,978.69, 9,630.19 and 3,834.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.69 : 9,630.19 = 3,834.88 : x
2. Step 2: Convert to fraction form
   6,978.69/9,630.19 = 3,834.88/x
3. Step 3: Cross multiply
   6,978.69x = 9,630.19 × 3,834.88
4. Step 4: Simplify right side
   6,978.69x = 36,930,603.75
5. Step 5: Solve for x
   x = 36,930,603.75/6,978.69
6. Step 6: Final answer
   x = 5,291.91