Finding the Fourth Proportional to 67.82, 102.23 and 55.94

Step by Step Solution

1. Step 1: Write the proportion equation
   67.82 : 102.23 = 55.94 : x
2. Step 2: Convert to fraction form
   67.82/102.23 = 55.94/x
3. Step 3: Cross multiply
   67.82x = 102.23 × 55.94
4. Step 4: Simplify right side
   67.82x = 5,718.75
5. Step 5: Solve for x
   x = 5,718.75/67.82
6. Step 6: Final answer
   x = 84.32