Finding the Fourth Proportional to 6,978.63, 9,630.34 and 3,994.27

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.63 : 9,630.34 = 3,994.27 : x
2. Step 2: Convert to fraction form
   6,978.63/9,630.34 = 3,994.27/x
3. Step 3: Cross multiply
   6,978.63x = 9,630.34 × 3,994.27
4. Step 4: Simplify right side
   6,978.63x = 38,466,178.15
5. Step 5: Solve for x
   x = 38,466,178.15/6,978.63
6. Step 6: Final answer
   x = 5,512.00