Finding the Fourth Proportional to 113.78, 157.83 and 109.69

Step by Step Solution

1. Step 1: Write the proportion equation
   113.78 : 157.83 = 109.69 : x
2. Step 2: Convert to fraction form
   113.78/157.83 = 109.69/x
3. Step 3: Cross multiply
   113.78x = 157.83 × 109.69
4. Step 4: Simplify right side
   113.78x = 17,311.57
5. Step 5: Solve for x
   x = 17,311.57/113.78
6. Step 6: Final answer
   x = 152.15