Finding the Fourth Proportional to 9,288.78, 12,817.89 and 5,097.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,288.78 : 12,817.89 = 5,097.30 : x
2. Step 2: Convert to fraction form
   9,288.78/12,817.89 = 5,097.30/x
3. Step 3: Cross multiply
   9,288.78x = 12,817.89 × 5,097.30
4. Step 4: Simplify right side
   9,288.78x = 65,336,630.70
5. Step 5: Solve for x
   x = 65,336,630.70/9,288.78
6. Step 6: Final answer
   x = 7,033.93