Finding the Fourth Proportional to 9,576.50, 13,213.61 and 5,596.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,576.50 : 13,213.61 = 5,596.83 : x
2. Step 2: Convert to fraction form
   9,576.50/13,213.61 = 5,596.83/x
3. Step 3: Cross multiply
   9,576.50x = 13,213.61 × 5,596.83
4. Step 4: Simplify right side
   9,576.50x = 73,954,300.87
5. Step 5: Solve for x
   x = 73,954,300.87/9,576.50
6. Step 6: Final answer
   x = 7,722.48