Finding the Fourth Proportional to 116.27, 160.52 and 77.51

Step by Step Solution

1. Step 1: Write the proportion equation
   116.27 : 160.52 = 77.51 : x
2. Step 2: Convert to fraction form
   116.27/160.52 = 77.51/x
3. Step 3: Cross multiply
   116.27x = 160.52 × 77.51
4. Step 4: Simplify right side
   116.27x = 12,440.72
5. Step 5: Solve for x
   x = 12,440.72/116.27
6. Step 6: Final answer
   x = 107.00