Finding the Fourth Proportional to 10,262.31, 14,162.13 and 5,786.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,262.31 : 14,162.13 = 5,786.16 : x
2. Step 2: Convert to fraction form
   10,262.31/14,162.13 = 5,786.16/x
3. Step 3: Cross multiply
   10,262.31x = 14,162.13 × 5,786.16
4. Step 4: Simplify right side
   10,262.31x = 81,944,350.12
5. Step 5: Solve for x
   x = 81,944,350.12/10,262.31
6. Step 6: Final answer
   x = 7,984.98