Finding the Fourth Proportional to 10,186.17, 14,056.82 and 5,709.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,186.17 : 14,056.82 = 5,709.96 : x
2. Step 2: Convert to fraction form
   10,186.17/14,056.82 = 5,709.96/x
3. Step 3: Cross multiply
   10,186.17x = 14,056.82 × 5,709.96
4. Step 4: Simplify right side
   10,186.17x = 80,263,872.79
5. Step 5: Solve for x
   x = 80,263,872.79/10,186.17
6. Step 6: Final answer
   x = 7,879.69