Finding the Fourth Proportional to 6,446.39, 9,666.69 and 3,116.27

Step by Step Solution

1. Step 1: Write the proportion equation
   6,446.39 : 9,666.69 = 3,116.27 : x
2. Step 2: Convert to fraction form
   6,446.39/9,666.69 = 3,116.27/x
3. Step 3: Cross multiply
   6,446.39x = 9,666.69 × 3,116.27
4. Step 4: Simplify right side
   6,446.39x = 30,123,967.71
5. Step 5: Solve for x
   x = 30,123,967.71/6,446.39
6. Step 6: Final answer
   x = 4,673.00