Finding the Fourth Proportional to 10,440.14, 14,408.31 and 5,725.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,440.14 : 14,408.31 = 5,725.33 : x
2. Step 2: Convert to fraction form
   10,440.14/14,408.31 = 5,725.33/x
3. Step 3: Cross multiply
   10,440.14x = 14,408.31 × 5,725.33
4. Step 4: Simplify right side
   10,440.14x = 82,492,347.68
5. Step 5: Solve for x
   x = 82,492,347.68/10,440.14
6. Step 6: Final answer
   x = 7,901.46