Finding the Fourth Proportional to 298.78, 448.00 and 116.15

Step by Step Solution

1. Step 1: Write the proportion equation
   298.78 : 448.00 = 116.15 : x
2. Step 2: Convert to fraction form
   298.78/448.00 = 116.15/x
3. Step 3: Cross multiply
   298.78x = 448.00 × 116.15
4. Step 4: Simplify right side
   298.78x = 52,034.62
5. Step 5: Solve for x
   x = 52,034.62/298.78
6. Step 6: Final answer
   x = 174.16