Finding the Fourth Proportional to 10,142.78, 13,996.04 and 5,666.43

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.78 : 13,996.04 = 5,666.43 : x
2. Step 2: Convert to fraction form
   10,142.78/13,996.04 = 5,666.43/x
3. Step 3: Cross multiply
   10,142.78x = 13,996.04 × 5,666.43
4. Step 4: Simplify right side
   10,142.78x = 79,307,552.61
5. Step 5: Solve for x
   x = 79,307,552.61/10,142.78
6. Step 6: Final answer
   x = 7,819.12