Finding the Fourth Proportional to 123.82, 185.76 and 37.15

Step by Step Solution

1. Step 1: Write the proportion equation
   123.82 : 185.76 = 37.15 : x
2. Step 2: Convert to fraction form
   123.82/185.76 = 37.15/x
3. Step 3: Cross multiply
   123.82x = 185.76 × 37.15
4. Step 4: Simplify right side
   123.82x = 6,900.98
5. Step 5: Solve for x
   x = 6,900.98/123.82
6. Step 6: Final answer
   x = 55.73