Finding the Fourth Proportional to 10,185.96, 14,057.48 and 5,709.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185.96 : 14,057.48 = 5,709.64 : x
2. Step 2: Convert to fraction form
   10,185.96/14,057.48 = 5,709.64/x
3. Step 3: Cross multiply
   10,185.96x = 14,057.48 × 5,709.64
4. Step 4: Simplify right side
   10,185.96x = 80,263,150.11
5. Step 5: Solve for x
   x = 80,263,150.11/10,185.96
6. Step 6: Final answer
   x = 7,879.78