Finding the Fourth Proportional to 6,978.38, 9,630.25 and 3,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.38 : 9,630.25 = 3,834.50 : x
2. Step 2: Convert to fraction form
   6,978.38/9,630.25 = 3,834.50/x
3. Step 3: Cross multiply
   6,978.38x = 9,630.25 × 3,834.50
4. Step 4: Simplify right side
   6,978.38x = 36,927,193.63
5. Step 5: Solve for x
   x = 36,927,193.63/6,978.38
6. Step 6: Final answer
   x = 5,291.66