Finding the Fourth Proportional to 10,582.36, 14,603.61 and 5,866.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582.36 : 14,603.61 = 5,866.63 : x
2. Step 2: Convert to fraction form
   10,582.36/14,603.61 = 5,866.63/x
3. Step 3: Cross multiply
   10,582.36x = 14,603.61 × 5,866.63
4. Step 4: Simplify right side
   10,582.36x = 85,673,976.53
5. Step 5: Solve for x
   x = 85,673,976.53/10,582.36
6. Step 6: Final answer
   x = 8,095.92