Finding the Fourth Proportional to 9,169.02, 12,653.69 and 5,191.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,169.02 : 12,653.69 = 5,191.38 : x
2. Step 2: Convert to fraction form
   9,169.02/12,653.69 = 5,191.38/x
3. Step 3: Cross multiply
   9,169.02x = 12,653.69 × 5,191.38
4. Step 4: Simplify right side
   9,169.02x = 65,690,087.24
5. Step 5: Solve for x
   x = 65,690,087.24/9,169.02
6. Step 6: Final answer
   x = 7,164.35