Finding the Fourth Proportional to 10,178.15, 14,046.89 and 5,871.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,178.15 : 14,046.89 = 5,871.41 : x
2. Step 2: Convert to fraction form
   10,178.15/14,046.89 = 5,871.41/x
3. Step 3: Cross multiply
   10,178.15x = 14,046.89 × 5,871.41
4. Step 4: Simplify right side
   10,178.15x = 82,474,950.82
5. Step 5: Solve for x
   x = 82,474,950.82/10,178.15
6. Step 6: Final answer
   x = 8,103.14