Finding the Fourth Proportional to 16,506, 22,767.60 and 9,786.72

Step by Step Solution

1. Step 1: Write the proportion equation
   16,506 : 22,767.60 = 9,786.72 : x
2. Step 2: Convert to fraction form
   16,506/22,767.60 = 9,786.72/x
3. Step 3: Cross multiply
   16,506x = 22,767.60 × 9,786.72
4. Step 4: Simplify right side
   16,506x = 222,820,126.27
5. Step 5: Solve for x
   x = 222,820,126.27/16,506
6. Step 6: Final answer
   x = 13,499.34