Finding the Fourth Proportional to 10,646.18, 14,691.56 and 5,930.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,646.18 : 14,691.56 = 5,930.46 : x
2. Step 2: Convert to fraction form
   10,646.18/14,691.56 = 5,930.46/x
3. Step 3: Cross multiply
   10,646.18x = 14,691.56 × 5,930.46
4. Step 4: Simplify right side
   10,646.18x = 87,127,679.27
5. Step 5: Solve for x
   x = 87,127,679.27/10,646.18
6. Step 6: Final answer
   x = 8,183.94