Finding the Fourth Proportional to 1,364.21, 1,882.55 and 774.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.21 : 1,882.55 = 774.67 : x
2. Step 2: Convert to fraction form
   1,364.21/1,882.55 = 774.67/x
3. Step 3: Cross multiply
   1,364.21x = 1,882.55 × 774.67
4. Step 4: Simplify right side
   1,364.21x = 1,458,341.72
5. Step 5: Solve for x
   x = 1,458,341.72/1,364.21
6. Step 6: Final answer
   x = 1,069.00