Finding the Fourth Proportional to 10,646.09, 14,691.34 and 5,930.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,646.09 : 14,691.34 = 5,930.27 : x
2. Step 2: Convert to fraction form
   10,646.09/14,691.34 = 5,930.27/x
3. Step 3: Cross multiply
   10,646.09x = 14,691.34 × 5,930.27
4. Step 4: Simplify right side
   10,646.09x = 87,123,612.86
5. Step 5: Solve for x
   x = 87,123,612.86/10,646.09
6. Step 6: Final answer
   x = 8,183.63