Finding the Fourth Proportional to 6,694.56, 9,238.50 and 4,042.62

Step by Step Solution

1. Step 1: Write the proportion equation
   6,694.56 : 9,238.50 = 4,042.62 : x
2. Step 2: Convert to fraction form
   6,694.56/9,238.50 = 4,042.62/x
3. Step 3: Cross multiply
   6,694.56x = 9,238.50 × 4,042.62
4. Step 4: Simplify right side
   6,694.56x = 37,347,757.86
5. Step 5: Solve for x
   x = 37,347,757.86/6,694.56
6. Step 6: Final answer
   x = 5,578.82