Finding the Fourth Proportional to 10,582.38, 14,603.76 and 5,866.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582.38 : 14,603.76 = 5,866.70 : x
2. Step 2: Convert to fraction form
   10,582.38/14,603.76 = 5,866.70/x
3. Step 3: Cross multiply
   10,582.38x = 14,603.76 × 5,866.70
4. Step 4: Simplify right side
   10,582.38x = 85,675,805.77
5. Step 5: Solve for x
   x = 85,675,805.77/10,582.38
6. Step 6: Final answer
   x = 8,096.08