Finding the Fourth Proportional to 10,162.96, 14,024.84 and 5,686.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,162.96 : 14,024.84 = 5,686.68 : x
2. Step 2: Convert to fraction form
   10,162.96/14,024.84 = 5,686.68/x
3. Step 3: Cross multiply
   10,162.96x = 14,024.84 × 5,686.68
4. Step 4: Simplify right side
   10,162.96x = 79,754,777.13
5. Step 5: Solve for x
   x = 79,754,777.13/10,162.96
6. Step 6: Final answer
   x = 7,847.59