Finding the Fourth Proportional to 1,423.57, 1,964.33 and 834.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,423.57 : 1,964.33 = 834.30 : x
2. Step 2: Convert to fraction form
   1,423.57/1,964.33 = 834.30/x
3. Step 3: Cross multiply
   1,423.57x = 1,964.33 × 834.30
4. Step 4: Simplify right side
   1,423.57x = 1,638,840.52
5. Step 5: Solve for x
   x = 1,638,840.52/1,423.57
6. Step 6: Final answer
   x = 1,151.22