Finding the Fourth Proportional to 10,142.52, 13,995.30 and 5,665.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.52 : 13,995.30 = 5,665.72 : x
2. Step 2: Convert to fraction form
   10,142.52/13,995.30 = 5,665.72/x
3. Step 3: Cross multiply
   10,142.52x = 13,995.30 × 5,665.72
4. Step 4: Simplify right side
   10,142.52x = 79,293,451.12
5. Step 5: Solve for x
   x = 79,293,451.12/10,142.52
6. Step 6: Final answer
   x = 7,817.92