Finding the Fourth Proportional to 6,978.76, 9,630.50 and 3,834.95

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.76 : 9,630.50 = 3,834.95 : x
2. Step 2: Convert to fraction form
   6,978.76/9,630.50 = 3,834.95/x
3. Step 3: Cross multiply
   6,978.76x = 9,630.50 × 3,834.95
4. Step 4: Simplify right side
   6,978.76x = 36,932,418.65
5. Step 5: Solve for x
   x = 36,932,418.65/6,978.76
6. Step 6: Final answer
   x = 5,292.12