Finding the Fourth Proportional to 1,042.57, 1,564.57 and 494.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,042.57 : 1,564.57 = 494.81 : x
2. Step 2: Convert to fraction form
   1,042.57/1,564.57 = 494.81/x
3. Step 3: Cross multiply
   1,042.57x = 1,564.57 × 494.81
4. Step 4: Simplify right side
   1,042.57x = 774,160.76
5. Step 5: Solve for x
   x = 774,160.76/1,042.57
6. Step 6: Final answer
   x = 742.55