Finding the Fourth Proportional to 9,288.36, 12,818.16 and 5,096.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,288.36 : 12,818.16 = 5,096.64 : x
2. Step 2: Convert to fraction form
   9,288.36/12,818.16 = 5,096.64/x
3. Step 3: Cross multiply
   9,288.36x = 12,818.16 × 5,096.64
4. Step 4: Simplify right side
   9,288.36x = 65,329,546.98
5. Step 5: Solve for x
   x = 65,329,546.98/9,288.36
6. Step 6: Final answer
   x = 7,033.49