Finding the Fourth Proportional to 1,142.54, 1,714.17 and 493.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.54 : 1,714.17 = 493.58 : x
2. Step 2: Convert to fraction form
   1,142.54/1,714.17 = 493.58/x
3. Step 3: Cross multiply
   1,142.54x = 1,714.17 × 493.58
4. Step 4: Simplify right side
   1,142.54x = 846,080.03
5. Step 5: Solve for x
   x = 846,080.03/1,142.54
6. Step 6: Final answer
   x = 740.53