Finding the Fourth Proportional to 6,438.82, 9,661.48 and 2,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,438.82 : 9,661.48 = 2,978.50 : x
2. Step 2: Convert to fraction form
   6,438.82/9,661.48 = 2,978.50/x
3. Step 3: Cross multiply
   6,438.82x = 9,661.48 × 2,978.50
4. Step 4: Simplify right side
   6,438.82x = 28,776,718.18
5. Step 5: Solve for x
   x = 28,776,718.18/6,438.82
6. Step 6: Final answer
   x = 4,469.25