Finding the Fourth Proportional to 116.59, 160.77 and 100.05

Step by Step Solution

1. Step 1: Write the proportion equation
   116.59 : 160.77 = 100.05 : x
2. Step 2: Convert to fraction form
   116.59/160.77 = 100.05/x
3. Step 3: Cross multiply
   116.59x = 160.77 × 100.05
4. Step 4: Simplify right side
   116.59x = 16,084.27
5. Step 5: Solve for x
   x = 16,084.27/116.59
6. Step 6: Final answer
   x = 137.96