Finding the Fourth Proportional to 105.69, 157.46 and 100.52

Step by Step Solution

1. Step 1: Write the proportion equation
   105.69 : 157.46 = 100.52 : x
2. Step 2: Convert to fraction form
   105.69/157.46 = 100.52/x
3. Step 3: Cross multiply
   105.69x = 157.46 × 100.52
4. Step 4: Simplify right side
   105.69x = 15,827.88
5. Step 5: Solve for x
   x = 15,827.88/105.69
6. Step 6: Final answer
   x = 149.76