Finding the Fourth Proportional to 6,978.44, 9,630.42 and 3,834.92

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.44 : 9,630.42 = 3,834.92 : x
2. Step 2: Convert to fraction form
   6,978.44/9,630.42 = 3,834.92/x
3. Step 3: Cross multiply
   6,978.44x = 9,630.42 × 3,834.92
4. Step 4: Simplify right side
   6,978.44x = 36,931,890.27
5. Step 5: Solve for x
   x = 36,931,890.27/6,978.44
6. Step 6: Final answer
   x = 5,292.28