Finding the Fourth Proportional to 10,042.49, 13,857.15 and 5,566.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,042.49 : 13,857.15 = 5,566.22 : x
2. Step 2: Convert to fraction form
   10,042.49/13,857.15 = 5,566.22/x
3. Step 3: Cross multiply
   10,042.49x = 13,857.15 × 5,566.22
4. Step 4: Simplify right side
   10,042.49x = 77,131,933.37
5. Step 5: Solve for x
   x = 77,131,933.37/10,042.49
6. Step 6: Final answer
   x = 7,680.56