Finding the Fourth Proportional to 1,042.62, 1,564.17 and 312.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,042.62 : 1,564.17 = 312.27 : x
2. Step 2: Convert to fraction form
   1,042.62/1,564.17 = 312.27/x
3. Step 3: Cross multiply
   1,042.62x = 1,564.17 × 312.27
4. Step 4: Simplify right side
   1,042.62x = 488,443.37
5. Step 5: Solve for x
   x = 488,443.37/1,042.62
6. Step 6: Final answer
   x = 468.48