Finding the Fourth Proportional to 150,800, 208,106.72 and 82,823.36

Step by Step Solution

1. Step 1: Write the proportion equation
   150,800 : 208,106.72 = 82,823.36 : x
2. Step 2: Convert to fraction form
   150,800/208,106.72 = 82,823.36/x
3. Step 3: Cross multiply
   150,800x = 208,106.72 × 82,823.36
4. Step 4: Simplify right side
   150,800x = 17,236,097,788.98
5. Step 5: Solve for x
   x = 17,236,097,788.98/150,800
6. Step 6: Final answer
   x = 114,297.73