Finding the Fourth Proportional to 16,584, 24,876 and 5,640

Step by Step Solution

1. Step 1: Write the proportion equation
   16,584 : 24,876 = 5,640 : x
2. Step 2: Convert to fraction form
   16,584/24,876 = 5,640/x
3. Step 3: Cross multiply
   16,584x = 24,876 × 5,640
4. Step 4: Simplify right side
   16,584x = 140,300,640
5. Step 5: Solve for x
   x = 140,300,640/16,584
6. Step 6: Final answer
   x = 8,460