Finding the Fourth Proportional to 9,676.50, 13,353.58 and 5,260.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,676.50 : 13,353.58 = 5,260.50 : x
2. Step 2: Convert to fraction form
   9,676.50/13,353.58 = 5,260.50/x
3. Step 3: Cross multiply
   9,676.50x = 13,353.58 × 5,260.50
4. Step 4: Simplify right side
   9,676.50x = 70,246,507.59
5. Step 5: Solve for x
   x = 70,246,507.59/9,676.50
6. Step 6: Final answer
   x = 7,259.50