Finding the Fourth Proportional to 1,014.02, 1,519.31 and 493.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014.02 : 1,519.31 = 493.88 : x
2. Step 2: Convert to fraction form
   1,014.02/1,519.31 = 493.88/x
3. Step 3: Cross multiply
   1,014.02x = 1,519.31 × 493.88
4. Step 4: Simplify right side
   1,014.02x = 750,361.86
5. Step 5: Solve for x
   x = 750,361.86/1,014.02
6. Step 6: Final answer
   x = 739.99