Finding the Fourth Proportional to 10,466.50, 14,443.38 and 5,686.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,466.50 : 14,443.38 = 5,686.24 : x
2. Step 2: Convert to fraction form
   10,466.50/14,443.38 = 5,686.24/x
3. Step 3: Cross multiply
   10,466.50x = 14,443.38 × 5,686.24
4. Step 4: Simplify right side
   10,466.50x = 82,128,525.09
5. Step 5: Solve for x
   x = 82,128,525.09/10,466.50
6. Step 6: Final answer
   x = 7,846.80