Finding the Fourth Proportional to 1,042.53, 1,564.56 and 494.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,042.53 : 1,564.56 = 494.71 : x
2. Step 2: Convert to fraction form
   1,042.53/1,564.56 = 494.71/x
3. Step 3: Cross multiply
   1,042.53x = 1,564.56 × 494.71
4. Step 4: Simplify right side
   1,042.53x = 773,999.57
5. Step 5: Solve for x
   x = 773,999.57/1,042.53
6. Step 6: Final answer
   x = 742.43