Finding the Fourth Proportional to 10,466.32, 14,443.50 and 5,686.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,466.32 : 14,443.50 = 5,686.28 : x
2. Step 2: Convert to fraction form
   10,466.32/14,443.50 = 5,686.28/x
3. Step 3: Cross multiply
   10,466.32x = 14,443.50 × 5,686.28
4. Step 4: Simplify right side
   10,466.32x = 82,129,785.18
5. Step 5: Solve for x
   x = 82,129,785.18/10,466.32
6. Step 6: Final answer
   x = 7,847.05