Finding the Fourth Proportional to 6,978.84, 9,630.63 and 3,994.49

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.84 : 9,630.63 = 3,994.49 : x
2. Step 2: Convert to fraction form
   6,978.84/9,630.63 = 3,994.49/x
3. Step 3: Cross multiply
   6,978.84x = 9,630.63 × 3,994.49
4. Step 4: Simplify right side
   6,978.84x = 38,469,407.08
5. Step 5: Solve for x
   x = 38,469,407.08/6,978.84
6. Step 6: Final answer
   x = 5,512.29