Finding the Fourth Proportional to 10,042.26, 13,858.42 and 5,566.11

Step by Step Solution

1. Step 1: Write the proportion equation
   10,042.26 : 13,858.42 = 5,566.11 : x
2. Step 2: Convert to fraction form
   10,042.26/13,858.42 = 5,566.11/x
3. Step 3: Cross multiply
   10,042.26x = 13,858.42 × 5,566.11
4. Step 4: Simplify right side
   10,042.26x = 77,137,490.15
5. Step 5: Solve for x
   x = 77,137,490.15/10,042.26
6. Step 6: Final answer
   x = 7,681.29