Finding the Fourth Proportional to 1,431.68, 1,976.11 and 842.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,431.68 : 1,976.11 = 842.41 : x
2. Step 2: Convert to fraction form
   1,431.68/1,976.11 = 842.41/x
3. Step 3: Cross multiply
   1,431.68x = 1,976.11 × 842.41
4. Step 4: Simplify right side
   1,431.68x = 1,664,694.83
5. Step 5: Solve for x
   x = 1,664,694.83/1,431.68
6. Step 6: Final answer
   x = 1,162.76