Finding the Fourth Proportional to 1,005.88, 1,509.78 and 493.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.88 : 1,509.78 = 493.24 : x
2. Step 2: Convert to fraction form
   1,005.88/1,509.78 = 493.24/x
3. Step 3: Cross multiply
   1,005.88x = 1,509.78 × 493.24
4. Step 4: Simplify right side
   1,005.88x = 744,683.89
5. Step 5: Solve for x
   x = 744,683.89/1,005.88
6. Step 6: Final answer
   x = 740.33