Finding the Fourth Proportional to 10,425.64, 14,387.38 and 5,709.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,425.64 : 14,387.38 = 5,709.92 : x
2. Step 2: Convert to fraction form
   10,425.64/14,387.38 = 5,709.92/x
3. Step 3: Cross multiply
   10,425.64x = 14,387.38 × 5,709.92
4. Step 4: Simplify right side
   10,425.64x = 82,150,788.81
5. Step 5: Solve for x
   x = 82,150,788.81/10,425.64
6. Step 6: Final answer
   x = 7,879.69