Finding the Fourth Proportional to 10,042.91, 13,859.21 and 5,566.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,042.91 : 13,859.21 = 5,566.67 : x
2. Step 2: Convert to fraction form
   10,042.91/13,859.21 = 5,566.67/x
3. Step 3: Cross multiply
   10,042.91x = 13,859.21 × 5,566.67
4. Step 4: Simplify right side
   10,042.91x = 77,149,620.70
5. Step 5: Solve for x
   x = 77,149,620.70/10,042.91
6. Step 6: Final answer
   x = 7,682.00