Finding the Fourth Proportional to 1,142.30, 1,714.50 and 493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.30 : 1,714.50 = 493.50 : x
2. Step 2: Convert to fraction form
   1,142.30/1,714.50 = 493.50/x
3. Step 3: Cross multiply
   1,142.30x = 1,714.50 × 493.50
4. Step 4: Simplify right side
   1,142.30x = 846,105.75
5. Step 5: Solve for x
   x = 846,105.75/1,142.30
6. Step 6: Final answer
   x = 740.70