Finding the Fourth Proportional to 10,438.20, 14,404.64 and 5,722.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,438.20 : 14,404.64 = 5,722.40 : x
2. Step 2: Convert to fraction form
   10,438.20/14,404.64 = 5,722.40/x
3. Step 3: Cross multiply
   10,438.20x = 14,404.64 × 5,722.40
4. Step 4: Simplify right side
   10,438.20x = 82,429,111.94
5. Step 5: Solve for x
   x = 82,429,111.94/10,438.20
6. Step 6: Final answer
   x = 7,896.87