Finding the Fourth Proportional to 10,425.12, 14,386.56 and 5,709.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,425.12 : 14,386.56 = 5,709.38 : x
2. Step 2: Convert to fraction form
   10,425.12/14,386.56 = 5,709.38/x
3. Step 3: Cross multiply
   10,425.12x = 14,386.56 × 5,709.38
4. Step 4: Simplify right side
   10,425.12x = 82,138,337.93
5. Step 5: Solve for x
   x = 82,138,337.93/10,425.12
6. Step 6: Final answer
   x = 7,878.89