Finding the Fourth Proportional to 1,364.38, 1,882.71 and 774.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.38 : 1,882.71 = 774.77 : x
2. Step 2: Convert to fraction form
   1,364.38/1,882.71 = 774.77/x
3. Step 3: Cross multiply
   1,364.38x = 1,882.71 × 774.77
4. Step 4: Simplify right side
   1,364.38x = 1,458,657.81
5. Step 5: Solve for x
   x = 1,458,657.81/1,364.38
6. Step 6: Final answer
   x = 1,069.10