Finding the Fourth Proportional to 10,438.63, 14,406.21 and 5,723.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,438.63 : 14,406.21 = 5,723.82 : x
2. Step 2: Convert to fraction form
   10,438.63/14,406.21 = 5,723.82/x
3. Step 3: Cross multiply
   10,438.63x = 14,406.21 × 5,723.82
4. Step 4: Simplify right side
   10,438.63x = 82,458,552.92
5. Step 5: Solve for x
   x = 82,458,552.92/10,438.63
6. Step 6: Final answer
   x = 7,899.37