Finding the Fourth Proportional to 1,364.25, 1,882.80 and 774.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.25 : 1,882.80 = 774.81 : x
2. Step 2: Convert to fraction form
   1,364.25/1,882.80 = 774.81/x
3. Step 3: Cross multiply
   1,364.25x = 1,882.80 × 774.81
4. Step 4: Simplify right side
   1,364.25x = 1,458,812.27
5. Step 5: Solve for x
   x = 1,458,812.27/1,364.25
6. Step 6: Final answer
   x = 1,069.31