Finding the Fourth Proportional to 1,364.18, 1,882.56 and 774.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.18 : 1,882.56 = 774.70 : x
2. Step 2: Convert to fraction form
   1,364.18/1,882.56 = 774.70/x
3. Step 3: Cross multiply
   1,364.18x = 1,882.56 × 774.70
4. Step 4: Simplify right side
   1,364.18x = 1,458,423.66
5. Step 5: Solve for x
   x = 1,458,423.66/1,364.18
6. Step 6: Final answer
   x = 1,069.08