Finding the Fourth Proportional to 10,186.07, 14,057.16 and 5,709.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,186.07 : 14,057.16 = 5,709.91 : x
2. Step 2: Convert to fraction form
   10,186.07/14,057.16 = 5,709.91/x
3. Step 3: Cross multiply
   10,186.07x = 14,057.16 × 5,709.91
4. Step 4: Simplify right side
   10,186.07x = 80,265,118.46
5. Step 5: Solve for x
   x = 80,265,118.46/10,186.07
6. Step 6: Final answer
   x = 7,879.89