Finding the Fourth Proportional to 10,439.64, 14,406.84 and 5,723.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,439.64 : 14,406.84 = 5,723.82 : x
2. Step 2: Convert to fraction form
   10,439.64/14,406.84 = 5,723.82/x
3. Step 3: Cross multiply
   10,439.64x = 14,406.84 × 5,723.82
4. Step 4: Simplify right side
   10,439.64x = 82,462,158.93
5. Step 5: Solve for x
   x = 82,462,158.93/10,439.64
6. Step 6: Final answer
   x = 7,898.95