Finding the Fourth Proportional to 1,175.78, 1,764.18 and 395.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,175.78 : 1,764.18 = 395.89 : x
2. Step 2: Convert to fraction form
   1,175.78/1,764.18 = 395.89/x
3. Step 3: Cross multiply
   1,175.78x = 1,764.18 × 395.89
4. Step 4: Simplify right side
   1,175.78x = 698,416.81
5. Step 5: Solve for x
   x = 698,416.81/1,175.78
6. Step 6: Final answer
   x = 594.00