Finding the Fourth Proportional to 9,164.34, 13,728.82 and 5,469.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.34 : 13,728.82 = 5,469.53 : x
2. Step 2: Convert to fraction form
   9,164.34/13,728.82 = 5,469.53/x
3. Step 3: Cross multiply
   9,164.34x = 13,728.82 × 5,469.53
4. Step 4: Simplify right side
   9,164.34x = 75,090,192.85
5. Step 5: Solve for x
   x = 75,090,192.85/9,164.34
6. Step 6: Final answer
   x = 8,193.74