Finding the Fourth Proportional to 10,582.30, 14,604.03 and 5,866.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582.30 : 14,604.03 = 5,866.27 : x
2. Step 2: Convert to fraction form
   10,582.30/14,604.03 = 5,866.27/x
3. Step 3: Cross multiply
   10,582.30x = 14,604.03 × 5,866.27
4. Step 4: Simplify right side
   10,582.30x = 85,671,183.07
5. Step 5: Solve for x
   x = 85,671,183.07/10,582.30
6. Step 6: Final answer
   x = 8,095.71