Finding the Fourth Proportional to 10,142.42, 13,995.16 and 5,665.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.42 : 13,995.16 = 5,665.62 : x
2. Step 2: Convert to fraction form
   10,142.42/13,995.16 = 5,665.62/x
3. Step 3: Cross multiply
   10,142.42x = 13,995.16 × 5,665.62
4. Step 4: Simplify right side
   10,142.42x = 79,291,244.24
5. Step 5: Solve for x
   x = 79,291,244.24/10,142.42
6. Step 6: Final answer
   x = 7,817.78