Finding the Fourth Proportional to 1,364.24, 1,882.50 and 774.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.24 : 1,882.50 = 774.74 : x
2. Step 2: Convert to fraction form
   1,364.24/1,882.50 = 774.74/x
3. Step 3: Cross multiply
   1,364.24x = 1,882.50 × 774.74
4. Step 4: Simplify right side
   1,364.24x = 1,458,448.05
5. Step 5: Solve for x
   x = 1,458,448.05/1,364.24
6. Step 6: Final answer
   x = 1,069.06