Finding the Fourth Proportional to 9,194.72, 12,693.12 and 5,660.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,194.72 : 12,693.12 = 5,660.96 : x
2. Step 2: Convert to fraction form
   9,194.72/12,693.12 = 5,660.96/x
3. Step 3: Cross multiply
   9,194.72x = 12,693.12 × 5,660.96
4. Step 4: Simplify right side
   9,194.72x = 71,855,244.60
5. Step 5: Solve for x
   x = 71,855,244.60/9,194.72
6. Step 6: Final answer
   x = 7,814.84