Finding the Fourth Proportional to 1,298.81, 1,792.59 and 774.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.81 : 1,792.59 = 774.88 : x
2. Step 2: Convert to fraction form
   1,298.81/1,792.59 = 774.88/x
3. Step 3: Cross multiply
   1,298.81x = 1,792.59 × 774.88
4. Step 4: Simplify right side
   1,298.81x = 1,389,042.14
5. Step 5: Solve for x
   x = 1,389,042.14/1,298.81
6. Step 6: Final answer
   x = 1,069.47