Finding the Fourth Proportional to 9,289.42, 12,819.30 and 5,097.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,289.42 : 12,819.30 = 5,097.64 : x
2. Step 2: Convert to fraction form
   9,289.42/12,819.30 = 5,097.64/x
3. Step 3: Cross multiply
   9,289.42x = 12,819.30 × 5,097.64
4. Step 4: Simplify right side
   9,289.42x = 65,348,176.45
5. Step 5: Solve for x
   x = 65,348,176.45/9,289.42
6. Step 6: Final answer
   x = 7,034.69