Finding the Fourth Proportional to 9,289.25, 12,819.18 and 5,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,289.25 : 12,819.18 = 5,097.50 : x
2. Step 2: Convert to fraction form
   9,289.25/12,819.18 = 5,097.50/x
3. Step 3: Cross multiply
   9,289.25x = 12,819.18 × 5,097.50
4. Step 4: Simplify right side
   9,289.25x = 65,345,770.05
5. Step 5: Solve for x
   x = 65,345,770.05/9,289.25
6. Step 6: Final answer
   x = 7,034.56