Finding the Fourth Proportional to 123.56, 185.09 and 105.37

Step by Step Solution

1. Step 1: Write the proportion equation
   123.56 : 185.09 = 105.37 : x
2. Step 2: Convert to fraction form
   123.56/185.09 = 105.37/x
3. Step 3: Cross multiply
   123.56x = 185.09 × 105.37
4. Step 4: Simplify right side
   123.56x = 19,501.94
5. Step 5: Solve for x
   x = 19,501.94/123.56
6. Step 6: Final answer
   x = 157.84