Finding the Fourth Proportional to 6,978.42, 9,630.27 and 3,834.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.42 : 9,630.27 = 3,834.63 : x
2. Step 2: Convert to fraction form
   6,978.42/9,630.27 = 3,834.63/x
3. Step 3: Cross multiply
   6,978.42x = 9,630.27 × 3,834.63
4. Step 4: Simplify right side
   6,978.42x = 36,928,522.25
5. Step 5: Solve for x
   x = 36,928,522.25/6,978.42
6. Step 6: Final answer
   x = 5,291.82