Finding the Fourth Proportional to 1,431.81, 1,976.11 and 834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,431.81 : 1,976.11 = 834.50 : x
2. Step 2: Convert to fraction form
   1,431.81/1,976.11 = 834.50/x
3. Step 3: Cross multiply
   1,431.81x = 1,976.11 × 834.50
4. Step 4: Simplify right side
   1,431.81x = 1,649,066.65
5. Step 5: Solve for x
   x = 1,649,066.65/1,431.81
6. Step 6: Final answer
   x = 1,151.74