Finding the Fourth Proportional to 10,142.30, 13,996.05 and 5,665.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.30 : 13,996.05 = 5,665.97 : x
2. Step 2: Convert to fraction form
   10,142.30/13,996.05 = 5,665.97/x
3. Step 3: Cross multiply
   10,142.30x = 13,996.05 × 5,665.97
4. Step 4: Simplify right side
   10,142.30x = 79,301,199.42
5. Step 5: Solve for x
   x = 79,301,199.42/10,142.30
6. Step 6: Final answer
   x = 7,818.86