Finding the Fourth Proportional to 105.14, 157.88 and 100.00

Step by Step Solution

1. Step 1: Write the proportion equation
   105.14 : 157.88 = 100.00 : x
2. Step 2: Convert to fraction form
   105.14/157.88 = 100.00/x
3. Step 3: Cross multiply
   105.14x = 157.88 × 100.00
4. Step 4: Simplify right side
   105.14x = 15,786.71
5. Step 5: Solve for x
   x = 15,786.71/105.14
6. Step 6: Final answer
   x = 150.15