Finding the Fourth Proportional to 300.89, 414.78 and 184.25

Step by Step Solution

1. Step 1: Write the proportion equation
   300.89 : 414.78 = 184.25 : x
2. Step 2: Convert to fraction form
   300.89/414.78 = 184.25/x
3. Step 3: Cross multiply
   300.89x = 414.78 × 184.25
4. Step 4: Simplify right side
   300.89x = 76,423.22
5. Step 5: Solve for x
   x = 76,423.22/300.89
6. Step 6: Final answer
   x = 253.99