Finding the Fourth Proportional to 205,089.72, 282,910.09 and 120,190.38

Step by Step Solution

1. Step 1: Write the proportion equation
   205,089.72 : 282,910.09 = 120,190.38 : x
2. Step 2: Convert to fraction form
   205,089.72/282,910.09 = 120,190.38/x
3. Step 3: Cross multiply
   205,089.72x = 282,910.09 × 120,190.38
4. Step 4: Simplify right side
   205,089.72x = 34,003,072,016.31
5. Step 5: Solve for x
   x = 34,003,072,016.31/205,089.72
6. Step 6: Final answer
   x = 165,796.08