Finding the Fourth Proportional to 1,412.72, 1,949.54 and 774.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.72 : 1,949.54 = 774.66 : x
2. Step 2: Convert to fraction form
   1,412.72/1,949.54 = 774.66/x
3. Step 3: Cross multiply
   1,412.72x = 1,949.54 × 774.66
4. Step 4: Simplify right side
   1,412.72x = 1,510,234.09
5. Step 5: Solve for x
   x = 1,510,234.09/1,412.72
6. Step 6: Final answer
   x = 1,069.02