Finding the Fourth Proportional to 116.42, 160.78 and 75.05

Step by Step Solution

1. Step 1: Write the proportion equation
   116.42 : 160.78 = 75.05 : x
2. Step 2: Convert to fraction form
   116.42/160.78 = 75.05/x
3. Step 3: Cross multiply
   116.42x = 160.78 × 75.05
4. Step 4: Simplify right side
   116.42x = 12,066.45
5. Step 5: Solve for x
   x = 12,066.45/116.42
6. Step 6: Final answer
   x = 103.64