Finding the Fourth Proportional to 9,527.05, 13,153.75 and 5,947.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,527.05 : 13,153.75 = 5,947.46 : x
2. Step 2: Convert to fraction form
   9,527.05/13,153.75 = 5,947.46/x
3. Step 3: Cross multiply
   9,527.05x = 13,153.75 × 5,947.46
4. Step 4: Simplify right side
   9,527.05x = 78,231,306.47
5. Step 5: Solve for x
   x = 78,231,306.47/9,527.05
6. Step 6: Final answer
   x = 8,211.49