Finding the Fourth Proportional to 10,042.56, 13,858.56 and 5,566.29

Step by Step Solution

1. Step 1: Write the proportion equation
   10,042.56 : 13,858.56 = 5,566.29 : x
2. Step 2: Convert to fraction form
   10,042.56/13,858.56 = 5,566.29/x
3. Step 3: Cross multiply
   10,042.56x = 13,858.56 × 5,566.29
4. Step 4: Simplify right side
   10,042.56x = 77,140,763.94
5. Step 5: Solve for x
   x = 77,140,763.94/10,042.56
6. Step 6: Final answer
   x = 7,681.39