Finding the Fourth Proportional to 113.78, 169.72 and 100.82

Step by Step Solution

1. Step 1: Write the proportion equation
   113.78 : 169.72 = 100.82 : x
2. Step 2: Convert to fraction form
   113.78/169.72 = 100.82/x
3. Step 3: Cross multiply
   113.78x = 169.72 × 100.82
4. Step 4: Simplify right side
   113.78x = 17,111.17
5. Step 5: Solve for x
   x = 17,111.17/113.78
6. Step 6: Final answer
   x = 150.39