Finding the Fourth Proportional to 9,289.56, 12,819.43 and 5,256.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,289.56 : 12,819.43 = 5,256.35 : x
2. Step 2: Convert to fraction form
   9,289.56/12,819.43 = 5,256.35/x
3. Step 3: Cross multiply
   9,289.56x = 12,819.43 × 5,256.35
4. Step 4: Simplify right side
   9,289.56x = 67,383,410.88
5. Step 5: Solve for x
   x = 67,383,410.88/9,289.56
6. Step 6: Final answer
   x = 7,253.67