Finding the Fourth Proportional to 10,141.48, 13,995.99 and 5,665.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.48 : 13,995.99 = 5,665.42 : x
2. Step 2: Convert to fraction form
   10,141.48/13,995.99 = 5,665.42/x
3. Step 3: Cross multiply
   10,141.48x = 13,995.99 × 5,665.42
4. Step 4: Simplify right side
   10,141.48x = 79,293,161.67
5. Step 5: Solve for x
   x = 79,293,161.67/10,141.48
6. Step 6: Final answer
   x = 7,818.70