Finding the Fourth Proportional to 6,978.24, 10,460.92 and 3,027

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.24 : 10,460.92 = 3,027 : x
2. Step 2: Convert to fraction form
   6,978.24/10,460.92 = 3,027/x
3. Step 3: Cross multiply
   6,978.24x = 10,460.92 × 3,027
4. Step 4: Simplify right side
   6,978.24x = 31,665,204.84
5. Step 5: Solve for x
   x = 31,665,204.84/6,978.24
6. Step 6: Final answer
   x = 4,537.71