Finding the Fourth Proportional to 10,438.08, 14,404.10 and 5,722.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,438.08 : 14,404.10 = 5,722.26 : x
2. Step 2: Convert to fraction form
   10,438.08/14,404.10 = 5,722.26/x
3. Step 3: Cross multiply
   10,438.08x = 14,404.10 × 5,722.26
4. Step 4: Simplify right side
   10,438.08x = 82,424,005.27
5. Step 5: Solve for x
   x = 82,424,005.27/10,438.08
6. Step 6: Final answer
   x = 7,896.47