Finding the Fourth Proportional to 10,142.30, 13,996.34 and 5,666.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.30 : 13,996.34 = 5,666.07 : x
2. Step 2: Convert to fraction form
   10,142.30/13,996.34 = 5,666.07/x
3. Step 3: Cross multiply
   10,142.30x = 13,996.34 × 5,666.07
4. Step 4: Simplify right side
   10,142.30x = 79,304,242.18
5. Step 5: Solve for x
   x = 79,304,242.18/10,142.30
6. Step 6: Final answer
   x = 7,819.16