Finding the Fourth Proportional to 1,178.37, 1,766.59 and 519.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178.37 : 1,766.59 = 519.78 : x
2. Step 2: Convert to fraction form
   1,178.37/1,766.59 = 519.78/x
3. Step 3: Cross multiply
   1,178.37x = 1,766.59 × 519.78
4. Step 4: Simplify right side
   1,178.37x = 918,238.15
5. Step 5: Solve for x
   x = 918,238.15/1,178.37
6. Step 6: Final answer
   x = 779.24