Finding the Fourth Proportional to 10,141.29, 13,994.85 and 5,665.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.29 : 13,994.85 = 5,665.23 : x
2. Step 2: Convert to fraction form
   10,141.29/13,994.85 = 5,665.23/x
3. Step 3: Cross multiply
   10,141.29x = 13,994.85 × 5,665.23
4. Step 4: Simplify right side
   10,141.29x = 79,284,044.07
5. Step 5: Solve for x
   x = 79,284,044.07/10,141.29
6. Step 6: Final answer
   x = 7,817.94