Finding the Fourth Proportional to 6,456.69, 9,688.05 and 3,172.14

Step by Step Solution

1. Step 1: Write the proportion equation
   6,456.69 : 9,688.05 = 3,172.14 : x
2. Step 2: Convert to fraction form
   6,456.69/9,688.05 = 3,172.14/x
3. Step 3: Cross multiply
   6,456.69x = 9,688.05 × 3,172.14
4. Step 4: Simplify right side
   6,456.69x = 30,731,850.93
5. Step 5: Solve for x
   x = 30,731,850.93/6,456.69
6. Step 6: Final answer
   x = 4,759.69