Finding the Fourth Proportional to 1,431.73, 1,976.13 and 834.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,431.73 : 1,976.13 = 834.10 : x
2. Step 2: Convert to fraction form
   1,431.73/1,976.13 = 834.10/x
3. Step 3: Cross multiply
   1,431.73x = 1,976.13 × 834.10
4. Step 4: Simplify right side
   1,431.73x = 1,648,290.03
5. Step 5: Solve for x
   x = 1,648,290.03/1,431.73
6. Step 6: Final answer
   x = 1,151.26