Finding the Fourth Proportional to 1,142.84, 1,714.52 and 493.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.84 : 1,714.52 = 493.76 : x
2. Step 2: Convert to fraction form
   1,142.84/1,714.52 = 493.76/x
3. Step 3: Cross multiply
   1,142.84x = 1,714.52 × 493.76
4. Step 4: Simplify right side
   1,142.84x = 846,561.40
5. Step 5: Solve for x
   x = 846,561.40/1,142.84
6. Step 6: Final answer
   x = 740.75