Finding the Fourth Proportional to 9,169.89, 12,654.06 and 5,191.23

Step by Step Solution

1. Step 1: Write the proportion equation
   9,169.89 : 12,654.06 = 5,191.23 : x
2. Step 2: Convert to fraction form
   9,169.89/12,654.06 = 5,191.23/x
3. Step 3: Cross multiply
   9,169.89x = 12,654.06 × 5,191.23
4. Step 4: Simplify right side
   9,169.89x = 65,690,135.89
5. Step 5: Solve for x
   x = 65,690,135.89/9,169.89
6. Step 6: Final answer
   x = 7,163.68