Finding the Fourth Proportional to 105.64, 158.22 and 78.52

Step by Step Solution

1. Step 1: Write the proportion equation
   105.64 : 158.22 = 78.52 : x
2. Step 2: Convert to fraction form
   105.64/158.22 = 78.52/x
3. Step 3: Cross multiply
   105.64x = 158.22 × 78.52
4. Step 4: Simplify right side
   105.64x = 12,423.43
5. Step 5: Solve for x
   x = 12,423.43/105.64
6. Step 6: Final answer
   x = 117.60