Finding the Fourth Proportional to 10,042.05, 13,857.81 and 5,565.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,042.05 : 13,857.81 = 5,565.76 : x
2. Step 2: Convert to fraction form
   10,042.05/13,857.81 = 5,565.76/x
3. Step 3: Cross multiply
   10,042.05x = 13,857.81 × 5,565.76
4. Step 4: Simplify right side
   10,042.05x = 77,129,147.47
5. Step 5: Solve for x
   x = 77,129,147.47/10,042.05
6. Step 6: Final answer
   x = 7,680.62