Finding the Fourth Proportional to 9,096.26, 12,554.57 and 5,694.85

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096.26 : 12,554.57 = 5,694.85 : x
2. Step 2: Convert to fraction form
   9,096.26/12,554.57 = 5,694.85/x
3. Step 3: Cross multiply
   9,096.26x = 12,554.57 × 5,694.85
4. Step 4: Simplify right side
   9,096.26x = 71,496,392.96
5. Step 5: Solve for x
   x = 71,496,392.96/9,096.26
6. Step 6: Final answer
   x = 7,859.98