Finding the Fourth Proportional to 9,576.02, 13,216.10 and 5,384.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,576.02 : 13,216.10 = 5,384.27 : x
2. Step 2: Convert to fraction form
   9,576.02/13,216.10 = 5,384.27/x
3. Step 3: Cross multiply
   9,576.02x = 13,216.10 × 5,384.27
4. Step 4: Simplify right side
   9,576.02x = 71,158,957.75
5. Step 5: Solve for x
   x = 71,158,957.75/9,576.02
6. Step 6: Final answer
   x = 7,430.96