Finding the Fourth Proportional to 9,584.43, 14,369.35 and 3,006.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,584.43 : 14,369.35 = 3,006.83 : x
2. Step 2: Convert to fraction form
   9,584.43/14,369.35 = 3,006.83/x
3. Step 3: Cross multiply
   9,584.43x = 14,369.35 × 3,006.83
4. Step 4: Simplify right side
   9,584.43x = 43,206,105.78
5. Step 5: Solve for x
   x = 43,206,105.78/9,584.43
6. Step 6: Final answer
   x = 4,507.95