Finding the Fourth Proportional to 1,119.34, 1,678.67 and 774.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,119.34 : 1,678.67 = 774.89 : x
2. Step 2: Convert to fraction form
   1,119.34/1,678.67 = 774.89/x
3. Step 3: Cross multiply
   1,119.34x = 1,678.67 × 774.89
4. Step 4: Simplify right side
   1,119.34x = 1,300,780.72
5. Step 5: Solve for x
   x = 1,300,780.72/1,119.34
6. Step 6: Final answer
   x = 1,162.10