Finding the Fourth Proportional to 105.86, 157.78 and 105.01

Step by Step Solution

1. Step 1: Write the proportion equation
   105.86 : 157.78 = 105.01 : x
2. Step 2: Convert to fraction form
   105.86/157.78 = 105.01/x
3. Step 3: Cross multiply
   105.86x = 157.78 × 105.01
4. Step 4: Simplify right side
   105.86x = 16,568.48
5. Step 5: Solve for x
   x = 16,568.48/105.86
6. Step 6: Final answer
   x = 156.51