Finding the Fourth Proportional to 1,042.39, 1,563.89 and 493.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,042.39 : 1,563.89 = 493.82 : x
2. Step 2: Convert to fraction form
   1,042.39/1,563.89 = 493.82/x
3. Step 3: Cross multiply
   1,042.39x = 1,563.89 × 493.82
4. Step 4: Simplify right side
   1,042.39x = 772,280.16
5. Step 5: Solve for x
   x = 772,280.16/1,042.39
6. Step 6: Final answer
   x = 740.87