Finding the Fourth Proportional to 1,042.67, 1,563.71 and 312.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,042.67 : 1,563.71 = 312.05 : x
2. Step 2: Convert to fraction form
   1,042.67/1,563.71 = 312.05/x
3. Step 3: Cross multiply
   1,042.67x = 1,563.71 × 312.05
4. Step 4: Simplify right side
   1,042.67x = 487,958.05
5. Step 5: Solve for x
   x = 487,958.05/1,042.67
6. Step 6: Final answer
   x = 467.99