Finding the Fourth Proportional to 10,582.24, 14,603.76 and 5,866.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582.24 : 14,603.76 = 5,866.60 : x
2. Step 2: Convert to fraction form
   10,582.24/14,603.76 = 5,866.60/x
3. Step 3: Cross multiply
   10,582.24x = 14,603.76 × 5,866.60
4. Step 4: Simplify right side
   10,582.24x = 85,674,418.42
5. Step 5: Solve for x
   x = 85,674,418.42/10,582.24
6. Step 6: Final answer
   x = 8,096.06