Finding the Fourth Proportional to 1,298.53, 1,792.43 and 774.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.53 : 1,792.43 = 774.56 : x
2. Step 2: Convert to fraction form
   1,298.53/1,792.43 = 774.56/x
3. Step 3: Cross multiply
   1,298.53x = 1,792.43 × 774.56
4. Step 4: Simplify right side
   1,298.53x = 1,388,348.09
5. Step 5: Solve for x
   x = 1,388,348.09/1,298.53
6. Step 6: Final answer
   x = 1,069.17