Finding the Fourth Proportional to 10,178.06, 14,046.24 and 5,701.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,178.06 : 14,046.24 = 5,701.54 : x
2. Step 2: Convert to fraction form
   10,178.06/14,046.24 = 5,701.54/x
3. Step 3: Cross multiply
   10,178.06x = 14,046.24 × 5,701.54
4. Step 4: Simplify right side
   10,178.06x = 80,085,163.70
5. Step 5: Solve for x
   x = 80,085,163.70/10,178.06
6. Step 6: Final answer
   x = 7,868.42