Finding the Fourth Proportional to 10,440.64, 14,408.22 and 5,724.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,440.64 : 14,408.22 = 5,724.82 : x
2. Step 2: Convert to fraction form
   10,440.64/14,408.22 = 5,724.82/x
3. Step 3: Cross multiply
   10,440.64x = 14,408.22 × 5,724.82
4. Step 4: Simplify right side
   10,440.64x = 82,484,466.02
5. Step 5: Solve for x
   x = 82,484,466.02/10,440.64
6. Step 6: Final answer
   x = 7,900.33