Finding the Fourth Proportional to 1,143.78, 1,714.69 and 494.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,143.78 : 1,714.69 = 494.02 : x
2. Step 2: Convert to fraction form
   1,143.78/1,714.69 = 494.02/x
3. Step 3: Cross multiply
   1,143.78x = 1,714.69 × 494.02
4. Step 4: Simplify right side
   1,143.78x = 847,091.15
5. Step 5: Solve for x
   x = 847,091.15/1,143.78
6. Step 6: Final answer
   x = 740.61