Finding the Fourth Proportional to 16,536.50, 22,820.56 and 9,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,536.50 : 22,820.56 = 9,084.50 : x
2. Step 2: Convert to fraction form
   16,536.50/22,820.56 = 9,084.50/x
3. Step 3: Cross multiply
   16,536.50x = 22,820.56 × 9,084.50
4. Step 4: Simplify right side
   16,536.50x = 207,313,377.32
5. Step 5: Solve for x
   x = 207,313,377.32/16,536.50
6. Step 6: Final answer
   x = 12,536.71