Finding the Fourth Proportional to 10,162.67, 14,024.43 and 5,686.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,162.67 : 14,024.43 = 5,686.61 : x
2. Step 2: Convert to fraction form
   10,162.67/14,024.43 = 5,686.61/x
3. Step 3: Cross multiply
   10,162.67x = 14,024.43 × 5,686.61
4. Step 4: Simplify right side
   10,162.67x = 79,751,393.76
5. Step 5: Solve for x
   x = 79,751,393.76/10,162.67
6. Step 6: Final answer
   x = 7,847.49