Finding the Fourth Proportional to 9,527.56, 13,146.72 and 5,277.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,527.56 : 13,146.72 = 5,277.57 : x
2. Step 2: Convert to fraction form
   9,527.56/13,146.72 = 5,277.57/x
3. Step 3: Cross multiply
   9,527.56x = 13,146.72 × 5,277.57
4. Step 4: Simplify right side
   9,527.56x = 69,382,735.07
5. Step 5: Solve for x
   x = 69,382,735.07/9,527.56
6. Step 6: Final answer
   x = 7,282.32