Finding the Fourth Proportional to 10,466.63, 14,443.91 and 5,686.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,466.63 : 14,443.91 = 5,686.54 : x
2. Step 2: Convert to fraction form
   10,466.63/14,443.91 = 5,686.54/x
3. Step 3: Cross multiply
   10,466.63x = 14,443.91 × 5,686.54
4. Step 4: Simplify right side
   10,466.63x = 82,135,871.97
5. Step 5: Solve for x
   x = 82,135,871.97/10,466.63
6. Step 6: Final answer
   x = 7,847.40