Finding the Fourth Proportional to 10,142.96, 13,996.80 and 5,665.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.96 : 13,996.80 = 5,665.82 : x
2. Step 2: Convert to fraction form
   10,142.96/13,996.80 = 5,665.82/x
3. Step 3: Cross multiply
   10,142.96x = 13,996.80 × 5,665.82
4. Step 4: Simplify right side
   10,142.96x = 79,303,349.38
5. Step 5: Solve for x
   x = 79,303,349.38/10,142.96
6. Step 6: Final answer
   x = 7,818.56