Finding the Fourth Proportional to 1,412.78, 1,949.67 and 774.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.78 : 1,949.67 = 774.74 : x
2. Step 2: Convert to fraction form
   1,412.78/1,949.67 = 774.74/x
3. Step 3: Cross multiply
   1,412.78x = 1,949.67 × 774.74
4. Step 4: Simplify right side
   1,412.78x = 1,510,492.21
5. Step 5: Solve for x
   x = 1,510,492.21/1,412.78
6. Step 6: Final answer
   x = 1,069.17