Finding the Fourth Proportional to 401.98, 602.76 and 185.72

Step by Step Solution

1. Step 1: Write the proportion equation
   401.98 : 602.76 = 185.72 : x
2. Step 2: Convert to fraction form
   401.98/602.76 = 185.72/x
3. Step 3: Cross multiply
   401.98x = 602.76 × 185.72
4. Step 4: Simplify right side
   401.98x = 111,944.59
5. Step 5: Solve for x
   x = 111,944.59/401.98
6. Step 6: Final answer
   x = 278.48