Finding the Fourth Proportional to 6,584.16, 9,084.72 and 3,789.92

Step by Step Solution

1. Step 1: Write the proportion equation
   6,584.16 : 9,084.72 = 3,789.92 : x
2. Step 2: Convert to fraction form
   6,584.16/9,084.72 = 3,789.92/x
3. Step 3: Cross multiply
   6,584.16x = 9,084.72 × 3,789.92
4. Step 4: Simplify right side
   6,584.16x = 34,430,362.02
5. Step 5: Solve for x
   x = 34,430,362.02/6,584.16
6. Step 6: Final answer
   x = 5,229.27