Finding the Fourth Proportional to 10,578.14, 14,596.83 and 5,862.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,578.14 : 14,596.83 = 5,862.32 : x
2. Step 2: Convert to fraction form
   10,578.14/14,596.83 = 5,862.32/x
3. Step 3: Cross multiply
   10,578.14x = 14,596.83 × 5,862.32
4. Step 4: Simplify right side
   10,578.14x = 85,571,215.46
5. Step 5: Solve for x
   x = 85,571,215.46/10,578.14
6. Step 6: Final answer
   x = 8,089.44