Finding the Fourth Proportional to 1,164.38, 1,746.50 and 298.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.38 : 1,746.50 = 298.62 : x
2. Step 2: Convert to fraction form
   1,164.38/1,746.50 = 298.62/x
3. Step 3: Cross multiply
   1,164.38x = 1,746.50 × 298.62
4. Step 4: Simplify right side
   1,164.38x = 521,539.83
5. Step 5: Solve for x
   x = 521,539.83/1,164.38
6. Step 6: Final answer
   x = 447.91