Finding the Fourth Proportional to 19,705.50, 29,544.33 and 9,164.37

Step by Step Solution

1. Step 1: Write the proportion equation
   19,705.50 : 29,544.33 = 9,164.37 : x
2. Step 2: Convert to fraction form
   19,705.50/29,544.33 = 9,164.37/x
3. Step 3: Cross multiply
   19,705.50x = 29,544.33 × 9,164.37
4. Step 4: Simplify right side
   19,705.50x = 270,755,171.52
5. Step 5: Solve for x
   x = 270,755,171.52/19,705.50
6. Step 6: Final answer
   x = 13,740.08