Finding the Fourth Proportional to 1,027.34, 1,540.69 and 296.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,027.34 : 1,540.69 = 296.72 : x
2. Step 2: Convert to fraction form
   1,027.34/1,540.69 = 296.72/x
3. Step 3: Cross multiply
   1,027.34x = 1,540.69 × 296.72
4. Step 4: Simplify right side
   1,027.34x = 457,153.54
5. Step 5: Solve for x
   x = 457,153.54/1,027.34
6. Step 6: Final answer
   x = 444.99