Finding the Fourth Proportional to 6,978.47, 9,630.02 and 3,994.22

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.47 : 9,630.02 = 3,994.22 : x
2. Step 2: Convert to fraction form
   6,978.47/9,630.02 = 3,994.22/x
3. Step 3: Cross multiply
   6,978.47x = 9,630.02 × 3,994.22
4. Step 4: Simplify right side
   6,978.47x = 38,464,452.55
5. Step 5: Solve for x
   x = 38,464,452.55/6,978.47
6. Step 6: Final answer
   x = 5,511.88