Finding the Fourth Proportional to 123.77, 185.53 and 42.56

Step by Step Solution

1. Step 1: Write the proportion equation
   123.77 : 185.53 = 42.56 : x
2. Step 2: Convert to fraction form
   123.77/185.53 = 42.56/x
3. Step 3: Cross multiply
   123.77x = 185.53 × 42.56
4. Step 4: Simplify right side
   123.77x = 7,896.16
5. Step 5: Solve for x
   x = 7,896.16/123.77
6. Step 6: Final answer
   x = 63.80