Finding the Fourth Proportional to 1,364.57, 1,882.62 and 774.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.57 : 1,882.62 = 774.77 : x
2. Step 2: Convert to fraction form
   1,364.57/1,882.62 = 774.77/x
3. Step 3: Cross multiply
   1,364.57x = 1,882.62 × 774.77
4. Step 4: Simplify right side
   1,364.57x = 1,458,597.50
5. Step 5: Solve for x
   x = 1,458,597.50/1,364.57
6. Step 6: Final answer
   x = 1,068.91