Finding the Fourth Proportional to 6,427.14, 9,649.58 and 4,447.91

Step by Step Solution

1. Step 1: Write the proportion equation
   6,427.14 : 9,649.58 = 4,447.91 : x
2. Step 2: Convert to fraction form
   6,427.14/9,649.58 = 4,447.91/x
3. Step 3: Cross multiply
   6,427.14x = 9,649.58 × 4,447.91
4. Step 4: Simplify right side
   6,427.14x = 42,920,392.89
5. Step 5: Solve for x
   x = 42,920,392.89/6,427.14
6. Step 6: Final answer
   x = 6,677.99