Finding the Fourth Proportional to 746.50, 1,119.83 and 198.69

Step by Step Solution

1. Step 1: Write the proportion equation
   746.50 : 1,119.83 = 198.69 : x
2. Step 2: Convert to fraction form
   746.50/1,119.83 = 198.69/x
3. Step 3: Cross multiply
   746.50x = 1,119.83 × 198.69
4. Step 4: Simplify right side
   746.50x = 222,499.02
5. Step 5: Solve for x
   x = 222,499.02/746.50
6. Step 6: Final answer
   x = 298.06