Finding the Fourth Proportional to 6,456.14, 8,910.89 and 4,097.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,456.14 : 8,910.89 = 4,097.82 : x
2. Step 2: Convert to fraction form
   6,456.14/8,910.89 = 4,097.82/x
3. Step 3: Cross multiply
   6,456.14x = 8,910.89 × 4,097.82
4. Step 4: Simplify right side
   6,456.14x = 36,515,223.26
5. Step 5: Solve for x
   x = 36,515,223.26/6,456.14
6. Step 6: Final answer
   x = 5,655.89