Finding the Fourth Proportional to 1,424.76, 1,965.89 and 835.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,424.76 : 1,965.89 = 835.14 : x
2. Step 2: Convert to fraction form
   1,424.76/1,965.89 = 835.14/x
3. Step 3: Cross multiply
   1,424.76x = 1,965.89 × 835.14
4. Step 4: Simplify right side
   1,424.76x = 1,641,789.20
5. Step 5: Solve for x
   x = 1,641,789.20/1,424.76
6. Step 6: Final answer
   x = 1,152.33