Finding the Fourth Proportional to 10,142.84, 13,996.32 and 5,666.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.84 : 13,996.32 = 5,666.24 : x
2. Step 2: Convert to fraction form
   10,142.84/13,996.32 = 5,666.24/x
3. Step 3: Cross multiply
   10,142.84x = 13,996.32 × 5,666.24
4. Step 4: Simplify right side
   10,142.84x = 79,306,508.24
5. Step 5: Solve for x
   x = 79,306,508.24/10,142.84
6. Step 6: Final answer
   x = 7,818.96