Finding the Fourth Proportional to 10,582.65, 14,603.02 and 5,866.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582.65 : 14,603.02 = 5,866.83 : x
2. Step 2: Convert to fraction form
   10,582.65/14,603.02 = 5,866.83/x
3. Step 3: Cross multiply
   10,582.65x = 14,603.02 × 5,866.83
4. Step 4: Simplify right side
   10,582.65x = 85,673,435.83
5. Step 5: Solve for x
   x = 85,673,435.83/10,582.65
6. Step 6: Final answer
   x = 8,095.65