Finding the Fourth Proportional to 116.22, 159.89 and 100.56

Step by Step Solution

1. Step 1: Write the proportion equation
   116.22 : 159.89 = 100.56 : x
2. Step 2: Convert to fraction form
   116.22/159.89 = 100.56/x
3. Step 3: Cross multiply
   116.22x = 159.89 × 100.56
4. Step 4: Simplify right side
   116.22x = 16,078.04
5. Step 5: Solve for x
   x = 16,078.04/116.22
6. Step 6: Final answer
   x = 138.34