Finding the Fourth Proportional to 116.02, 160.10 and 64.27

Step by Step Solution

1. Step 1: Write the proportion equation
   116.02 : 160.10 = 64.27 : x
2. Step 2: Convert to fraction form
   116.02/160.10 = 64.27/x
3. Step 3: Cross multiply
   116.02x = 160.10 × 64.27
4. Step 4: Simplify right side
   116.02x = 10,288.83
5. Step 5: Solve for x
   x = 10,288.83/116.02
6. Step 6: Final answer
   x = 88.69