Finding the Fourth Proportional to 6,404.56, 9,588.24 and 5,737.60

Step by Step Solution

1. Step 1: Write the proportion equation
   6,404.56 : 9,588.24 = 5,737.60 : x
2. Step 2: Convert to fraction form
   6,404.56/9,588.24 = 5,737.60/x
3. Step 3: Cross multiply
   6,404.56x = 9,588.24 × 5,737.60
4. Step 4: Simplify right side
   6,404.56x = 55,013,485.82
5. Step 5: Solve for x
   x = 55,013,485.82/6,404.56
6. Step 6: Final answer
   x = 8,589.74