Finding the Fourth Proportional to 111.99, 167.89 and 77.65

Step by Step Solution

1. Step 1: Write the proportion equation
   111.99 : 167.89 = 77.65 : x
2. Step 2: Convert to fraction form
   111.99/167.89 = 77.65/x
3. Step 3: Cross multiply
   111.99x = 167.89 × 77.65
4. Step 4: Simplify right side
   111.99x = 13,036.43
5. Step 5: Solve for x
   x = 13,036.43/111.99
6. Step 6: Final answer
   x = 116.41