Finding the Fourth Proportional to 10,042.80, 13,858.88 and 5,566.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,042.80 : 13,858.88 = 5,566.54 : x
2. Step 2: Convert to fraction form
   10,042.80/13,858.88 = 5,566.54/x
3. Step 3: Cross multiply
   10,042.80x = 13,858.88 × 5,566.54
4. Step 4: Simplify right side
   10,042.80x = 77,146,009.88
5. Step 5: Solve for x
   x = 77,146,009.88/10,042.80
6. Step 6: Final answer
   x = 7,681.72