Finding the Fourth Proportional to 10,186.21, 14,057.49 and 5,710.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,186.21 : 14,057.49 = 5,710.42 : x
2. Step 2: Convert to fraction form
   10,186.21/14,057.49 = 5,710.42/x
3. Step 3: Cross multiply
   10,186.21x = 14,057.49 × 5,710.42
4. Step 4: Simplify right side
   10,186.21x = 80,274,172.05
5. Step 5: Solve for x
   x = 80,274,172.05/10,186.21
6. Step 6: Final answer
   x = 7,880.67