Finding the Fourth Proportional to 6,438.48, 9,662.56 and 2,978.16

Step by Step Solution

1. Step 1: Write the proportion equation
   6,438.48 : 9,662.56 = 2,978.16 : x
2. Step 2: Convert to fraction form
   6,438.48/9,662.56 = 2,978.16/x
3. Step 3: Cross multiply
   6,438.48x = 9,662.56 × 2,978.16
4. Step 4: Simplify right side
   6,438.48x = 28,776,649.69
5. Step 5: Solve for x
   x = 28,776,649.69/6,438.48
6. Step 6: Final answer
   x = 4,469.48