Finding the Fourth Proportional to 10,582.80, 14,604.24 and 5,866.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582.80 : 14,604.24 = 5,866.96 : x
2. Step 2: Convert to fraction form
   10,582.80/14,604.24 = 5,866.96/x
3. Step 3: Cross multiply
   10,582.80x = 14,604.24 × 5,866.96
4. Step 4: Simplify right side
   10,582.80x = 85,682,491.91
5. Step 5: Solve for x
   x = 85,682,491.91/10,582.80
6. Step 6: Final answer
   x = 8,096.39