Finding the Fourth Proportional to 111.83, 167.76 and 77.60

Step by Step Solution

1. Step 1: Write the proportion equation
   111.83 : 167.76 = 77.60 : x
2. Step 2: Convert to fraction form
   111.83/167.76 = 77.60/x
3. Step 3: Cross multiply
   111.83x = 167.76 × 77.60
4. Step 4: Simplify right side
   111.83x = 13,017.34
5. Step 5: Solve for x
   x = 13,017.34/111.83
6. Step 6: Final answer
   x = 116.41