Finding the Fourth Proportional to 6,978.64, 9,630.06 and 3,834.76

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.64 : 9,630.06 = 3,834.76 : x
2. Step 2: Convert to fraction form
   6,978.64/9,630.06 = 3,834.76/x
3. Step 3: Cross multiply
   6,978.64x = 9,630.06 × 3,834.76
4. Step 4: Simplify right side
   6,978.64x = 36,928,968.89
5. Step 5: Solve for x
   x = 36,928,968.89/6,978.64
6. Step 6: Final answer
   x = 5,291.71