Finding the Fourth Proportional to 10,142.42, 13,996.19 and 5,666.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.42 : 13,996.19 = 5,666.15 : x
2. Step 2: Convert to fraction form
   10,142.42/13,996.19 = 5,666.15/x
3. Step 3: Cross multiply
   10,142.42x = 13,996.19 × 5,666.15
4. Step 4: Simplify right side
   10,142.42x = 79,304,561.12
5. Step 5: Solve for x
   x = 79,304,561.12/10,142.42
6. Step 6: Final answer
   x = 7,819.10