Finding the Fourth Proportional to 10,584.83, 15,833.49 and 9,622.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584.83 : 15,833.49 = 9,622.55 : x
2. Step 2: Convert to fraction form
   10,584.83/15,833.49 = 9,622.55/x
3. Step 3: Cross multiply
   10,584.83x = 15,833.49 × 9,622.55
4. Step 4: Simplify right side
   10,584.83x = 152,358,470.03
5. Step 5: Solve for x
   x = 152,358,470.03/10,584.83
6. Step 6: Final answer
   x = 14,394.05