Finding the Fourth Proportional to 10,042.75, 13,859.66 and 5,566.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,042.75 : 13,859.66 = 5,566.69 : x
2. Step 2: Convert to fraction form
   10,042.75/13,859.66 = 5,566.69/x
3. Step 3: Cross multiply
   10,042.75x = 13,859.66 × 5,566.69
4. Step 4: Simplify right side
   10,042.75x = 77,152,333.59
5. Step 5: Solve for x
   x = 77,152,333.59/10,042.75
6. Step 6: Final answer
   x = 7,682.39