Finding the Fourth Proportional to 1,364.43, 1,882.87 and 834.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.43 : 1,882.87 = 834.20 : x
2. Step 2: Convert to fraction form
   1,364.43/1,882.87 = 834.20/x
3. Step 3: Cross multiply
   1,364.43x = 1,882.87 × 834.20
4. Step 4: Simplify right side
   1,364.43x = 1,570,692.78
5. Step 5: Solve for x
   x = 1,570,692.78/1,364.43
6. Step 6: Final answer
   x = 1,151.17