Finding the Fourth Proportional to 1,185.29, 1,778.33 and 493.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.29 : 1,778.33 = 493.30 : x
2. Step 2: Convert to fraction form
   1,185.29/1,778.33 = 493.30/x
3. Step 3: Cross multiply
   1,185.29x = 1,778.33 × 493.30
4. Step 4: Simplify right side
   1,185.29x = 877,243.28
5. Step 5: Solve for x
   x = 877,243.28/1,185.29
6. Step 6: Final answer
   x = 740.11