Finding the Fourth Proportional to 10,042.74, 13,857.54 and 5,566.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,042.74 : 13,857.54 = 5,566.75 : x
2. Step 2: Convert to fraction form
   10,042.74/13,857.54 = 5,566.75/x
3. Step 3: Cross multiply
   10,042.74x = 13,857.54 × 5,566.75
4. Step 4: Simplify right side
   10,042.74x = 77,141,460.80
5. Step 5: Solve for x
   x = 77,141,460.80/10,042.74
6. Step 6: Final answer
   x = 7,681.32