Finding the Fourth Proportional to 77.69, 107.17 and 55.82

Step by Step Solution

1. Step 1: Write the proportion equation
   77.69 : 107.17 = 55.82 : x
2. Step 2: Convert to fraction form
   77.69/107.17 = 55.82/x
3. Step 3: Cross multiply
   77.69x = 107.17 × 55.82
4. Step 4: Simplify right side
   77.69x = 5,981.55
5. Step 5: Solve for x
   x = 5,981.55/77.69
6. Step 6: Final answer
   x = 77.00