Finding the Fourth Proportional to 1,298.52, 1,792.17 and 774.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.52 : 1,792.17 = 774.86 : x
2. Step 2: Convert to fraction form
   1,298.52/1,792.17 = 774.86/x
3. Step 3: Cross multiply
   1,298.52x = 1,792.17 × 774.86
4. Step 4: Simplify right side
   1,298.52x = 1,388,680.85
5. Step 5: Solve for x
   x = 1,388,680.85/1,298.52
6. Step 6: Final answer
   x = 1,069.43