Finding the Fourth Proportional to 9,527.14, 14,287.94 and 3,682.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,527.14 : 14,287.94 = 3,682.38 : x
2. Step 2: Convert to fraction form
   9,527.14/14,287.94 = 3,682.38/x
3. Step 3: Cross multiply
   9,527.14x = 14,287.94 × 3,682.38
4. Step 4: Simplify right side
   9,527.14x = 52,613,624.50
5. Step 5: Solve for x
   x = 52,613,624.50/9,527.14
6. Step 6: Final answer
   x = 5,522.50