Finding the Fourth Proportional to 10,439.94, 14,407.11 and 5,724.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,439.94 : 14,407.11 = 5,724.30 : x
2. Step 2: Convert to fraction form
   10,439.94/14,407.11 = 5,724.30/x
3. Step 3: Cross multiply
   10,439.94x = 14,407.11 × 5,724.30
4. Step 4: Simplify right side
   10,439.94x = 82,470,619.77
5. Step 5: Solve for x
   x = 82,470,619.77/10,439.94
6. Step 6: Final answer
   x = 7,899.53