Finding the Fourth Proportional to 116.82, 160.80 and 100.38

Step by Step Solution

1. Step 1: Write the proportion equation
   116.82 : 160.80 = 100.38 : x
2. Step 2: Convert to fraction form
   116.82/160.80 = 100.38/x
3. Step 3: Cross multiply
   116.82x = 160.80 × 100.38
4. Step 4: Simplify right side
   116.82x = 16,141.10
5. Step 5: Solve for x
   x = 16,141.10/116.82
6. Step 6: Final answer
   x = 138.17