Finding the Fourth Proportional to 9,164.50, 13,740.58 and 4,231.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.50 : 13,740.58 = 4,231.42 : x
2. Step 2: Convert to fraction form
   9,164.50/13,740.58 = 4,231.42/x
3. Step 3: Cross multiply
   9,164.50x = 13,740.58 × 4,231.42
4. Step 4: Simplify right side
   9,164.50x = 58,142,075.16
5. Step 5: Solve for x
   x = 58,142,075.16/9,164.50
6. Step 6: Final answer
   x = 6,344.27