Finding the Fourth Proportional to 10,142.18, 13,994.81 and 5,665.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.18 : 13,994.81 = 5,665.37 : x
2. Step 2: Convert to fraction form
   10,142.18/13,994.81 = 5,665.37/x
3. Step 3: Cross multiply
   10,142.18x = 13,994.81 × 5,665.37
4. Step 4: Simplify right side
   10,142.18x = 79,285,776.73
5. Step 5: Solve for x
   x = 79,285,776.73/10,142.18
6. Step 6: Final answer
   x = 7,817.43