Finding the Fourth Proportional to 9,527.72, 13,147.12 and 5,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,527.72 : 13,147.12 = 5,494.50 : x
2. Step 2: Convert to fraction form
   9,527.72/13,147.12 = 5,494.50/x
3. Step 3: Cross multiply
   9,527.72x = 13,147.12 × 5,494.50
4. Step 4: Simplify right side
   9,527.72x = 72,236,850.84
5. Step 5: Solve for x
   x = 72,236,850.84/9,527.72
6. Step 6: Final answer
   x = 7,581.76