Finding the Fourth Proportional to 6,406.49, 9,605.86 and 3,116.27

Step by Step Solution

1. Step 1: Write the proportion equation
   6,406.49 : 9,605.86 = 3,116.27 : x
2. Step 2: Convert to fraction form
   6,406.49/9,605.86 = 3,116.27/x
3. Step 3: Cross multiply
   6,406.49x = 9,605.86 × 3,116.27
4. Step 4: Simplify right side
   6,406.49x = 29,934,469.57
5. Step 5: Solve for x
   x = 29,934,469.57/6,406.49
6. Step 6: Final answer
   x = 4,672.52