Finding the Fourth Proportional to 10,162.44, 14,024.79 and 5,686.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,162.44 : 14,024.79 = 5,686.47 : x
2. Step 2: Convert to fraction form
   10,162.44/14,024.79 = 5,686.47/x
3. Step 3: Cross multiply
   10,162.44x = 14,024.79 × 5,686.47
4. Step 4: Simplify right side
   10,162.44x = 79,751,547.59
5. Step 5: Solve for x
   x = 79,751,547.59/10,162.44
6. Step 6: Final answer
   x = 7,847.68