Finding the Fourth Proportional to 300.42, 414.59 and 184.05

Step by Step Solution

1. Step 1: Write the proportion equation
   300.42 : 414.59 = 184.05 : x
2. Step 2: Convert to fraction form
   300.42/414.59 = 184.05/x
3. Step 3: Cross multiply
   300.42x = 414.59 × 184.05
4. Step 4: Simplify right side
   300.42x = 76,304.37
5. Step 5: Solve for x
   x = 76,304.37/300.42
6. Step 6: Final answer
   x = 253.99