Finding the Fourth Proportional to 10,042.37, 13,857.71 and 5,566.03

Step by Step Solution

1. Step 1: Write the proportion equation
   10,042.37 : 13,857.71 = 5,566.03 : x
2. Step 2: Convert to fraction form
   10,042.37/13,857.71 = 5,566.03/x
3. Step 3: Cross multiply
   10,042.37x = 13,857.71 × 5,566.03
4. Step 4: Simplify right side
   10,042.37x = 77,132,367.12
5. Step 5: Solve for x
   x = 77,132,367.12/10,042.37
6. Step 6: Final answer
   x = 7,680.69