Finding the Fourth Proportional to 1,164.25, 1,746.38 and 298.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.25 : 1,746.38 = 298.56 : x
2. Step 2: Convert to fraction form
   1,164.25/1,746.38 = 298.56/x
3. Step 3: Cross multiply
   1,164.25x = 1,746.38 × 298.56
4. Step 4: Simplify right side
   1,164.25x = 521,399.21
5. Step 5: Solve for x
   x = 521,399.21/1,164.25
6. Step 6: Final answer
   x = 447.84