Finding the Fourth Proportional to 10,438.14, 14,404.52 and 5,722.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,438.14 : 14,404.52 = 5,722.40 : x
2. Step 2: Convert to fraction form
   10,438.14/14,404.52 = 5,722.40/x
3. Step 3: Cross multiply
   10,438.14x = 14,404.52 × 5,722.40
4. Step 4: Simplify right side
   10,438.14x = 82,428,425.25
5. Step 5: Solve for x
   x = 82,428,425.25/10,438.14
6. Step 6: Final answer
   x = 7,896.85