Finding the Fourth Proportional to 498.27, 746.71 and 189.79

Step by Step Solution

1. Step 1: Write the proportion equation
   498.27 : 746.71 = 189.79 : x
2. Step 2: Convert to fraction form
   498.27/746.71 = 189.79/x
3. Step 3: Cross multiply
   498.27x = 746.71 × 189.79
4. Step 4: Simplify right side
   498.27x = 141,718.09
5. Step 5: Solve for x
   x = 141,718.09/498.27
6. Step 6: Final answer
   x = 284.42