Finding the Fourth Proportional to 9,193.72, 12,691.74 and 5,659.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,193.72 : 12,691.74 = 5,659.96 : x
2. Step 2: Convert to fraction form
   9,193.72/12,691.74 = 5,659.96/x
3. Step 3: Cross multiply
   9,193.72x = 12,691.74 × 5,659.96
4. Step 4: Simplify right side
   9,193.72x = 71,834,740.73
5. Step 5: Solve for x
   x = 71,834,740.73/9,193.72
6. Step 6: Final answer
   x = 7,813.46