Finding the Fourth Proportional to 10,438.82, 14,406.48 and 5,724.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,438.82 : 14,406.48 = 5,724.02 : x
2. Step 2: Convert to fraction form
   10,438.82/14,406.48 = 5,724.02/x
3. Step 3: Cross multiply
   10,438.82x = 14,406.48 × 5,724.02
4. Step 4: Simplify right side
   10,438.82x = 82,462,979.65
5. Step 5: Solve for x
   x = 82,462,979.65/10,438.82
6. Step 6: Final answer
   x = 7,899.65