Finding the Fourth Proportional to 1,306.69, 1,801.31 and 834.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,306.69 : 1,801.31 = 834.53 : x
2. Step 2: Convert to fraction form
   1,306.69/1,801.31 = 834.53/x
3. Step 3: Cross multiply
   1,306.69x = 1,801.31 × 834.53
4. Step 4: Simplify right side
   1,306.69x = 1,503,234.06
5. Step 5: Solve for x
   x = 1,503,234.06/1,306.69
6. Step 6: Final answer
   x = 1,150.42