Finding the Fourth Proportional to 10,262.49, 14,162.39 and 5,786.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,262.49 : 14,162.39 = 5,786.46 : x
2. Step 2: Convert to fraction form
   10,262.49/14,162.39 = 5,786.46/x
3. Step 3: Cross multiply
   10,262.49x = 14,162.39 × 5,786.46
4. Step 4: Simplify right side
   10,262.49x = 81,950,103.24
5. Step 5: Solve for x
   x = 81,950,103.24/10,262.49
6. Step 6: Final answer
   x = 7,985.40