Finding the Fourth Proportional to 10,041.71, 13,857.56 and 5,566.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,041.71 : 13,857.56 = 5,566.14 : x
2. Step 2: Convert to fraction form
   10,041.71/13,857.56 = 5,566.14/x
3. Step 3: Cross multiply
   10,041.71x = 13,857.56 × 5,566.14
4. Step 4: Simplify right side
   10,041.71x = 77,133,049.73
5. Step 5: Solve for x
   x = 77,133,049.73/10,041.71
6. Step 6: Final answer
   x = 7,681.27