Finding the Fourth Proportional to 10,141.92, 13,994.47 and 5,665.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.92 : 13,994.47 = 5,665.12 : x
2. Step 2: Convert to fraction form
   10,141.92/13,994.47 = 5,665.12/x
3. Step 3: Cross multiply
   10,141.92x = 13,994.47 × 5,665.12
4. Step 4: Simplify right side
   10,141.92x = 79,280,337.72
5. Step 5: Solve for x
   x = 79,280,337.72/10,141.92
6. Step 6: Final answer
   x = 7,817.09