Finding the Fourth Proportional to 105.34, 158.01 and 56.63

Step by Step Solution

1. Step 1: Write the proportion equation
   105.34 : 158.01 = 56.63 : x
2. Step 2: Convert to fraction form
   105.34/158.01 = 56.63/x
3. Step 3: Cross multiply
   105.34x = 158.01 × 56.63
4. Step 4: Simplify right side
   105.34x = 8,947.78
5. Step 5: Solve for x
   x = 8,947.78/105.34
6. Step 6: Final answer
   x = 84.94