Finding the Fourth Proportional to 105.94, 158.94 and 77.00

Step by Step Solution

1. Step 1: Write the proportion equation
   105.94 : 158.94 = 77.00 : x
2. Step 2: Convert to fraction form
   105.94/158.94 = 77.00/x
3. Step 3: Cross multiply
   105.94x = 158.94 × 77.00
4. Step 4: Simplify right side
   105.94x = 12,237.59
5. Step 5: Solve for x
   x = 12,237.59/105.94
6. Step 6: Final answer
   x = 115.52