Finding the Fourth Proportional to 10,185.69, 14,056.65 and 5,709.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185.69 : 14,056.65 = 5,709.48 : x
2. Step 2: Convert to fraction form
   10,185.69/14,056.65 = 5,709.48/x
3. Step 3: Cross multiply
   10,185.69x = 14,056.65 × 5,709.48
4. Step 4: Simplify right side
   10,185.69x = 80,256,162.04
5. Step 5: Solve for x
   x = 80,256,162.04/10,185.69
6. Step 6: Final answer
   x = 7,879.31