Finding the Fourth Proportional to 9,288, 12,817.71 and 5,096.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,288 : 12,817.71 = 5,096.52 : x
2. Step 2: Convert to fraction form
   9,288/12,817.71 = 5,096.52/x
3. Step 3: Cross multiply
   9,288x = 12,817.71 × 5,096.52
4. Step 4: Simplify right side
   9,288x = 65,325,715.37
5. Step 5: Solve for x
   x = 65,325,715.37/9,288
6. Step 6: Final answer
   x = 7,033.35