Finding the Fourth Proportional to 149,836.50, 206,774.38 and 82,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,836.50 : 206,774.38 = 82,768.50 : x
2. Step 2: Convert to fraction form
   149,836.50/206,774.38 = 82,768.50/x
3. Step 3: Cross multiply
   149,836.50x = 206,774.38 × 82,768.50
4. Step 4: Simplify right side
   149,836.50x = 17,114,405,271.03
5. Step 5: Solve for x
   x = 17,114,405,271.03/149,836.50
6. Step 6: Final answer
   x = 114,220.54