Finding the Fourth Proportional to 6,978.56, 9,629.88 and 4,183.52

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.56 : 9,629.88 = 4,183.52 : x
2. Step 2: Convert to fraction form
   6,978.56/9,629.88 = 4,183.52/x
3. Step 3: Cross multiply
   6,978.56x = 9,629.88 × 4,183.52
4. Step 4: Simplify right side
   6,978.56x = 40,286,795.58
5. Step 5: Solve for x
   x = 40,286,795.58/6,978.56
6. Step 6: Final answer
   x = 5,772.94