Finding the Fourth Proportional to 10,582.62, 14,603.28 and 5,866.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582.62 : 14,603.28 = 5,866.50 : x
2. Step 2: Convert to fraction form
   10,582.62/14,603.28 = 5,866.50/x
3. Step 3: Cross multiply
   10,582.62x = 14,603.28 × 5,866.50
4. Step 4: Simplify right side
   10,582.62x = 85,670,142.12
5. Step 5: Solve for x
   x = 85,670,142.12/10,582.62
6. Step 6: Final answer
   x = 8,095.36