Finding the Fourth Proportional to 1,431.77, 1,976.17 and 842.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,431.77 : 1,976.17 = 842.49 : x
2. Step 2: Convert to fraction form
   1,431.77/1,976.17 = 842.49/x
3. Step 3: Cross multiply
   1,431.77x = 1,976.17 × 842.49
4. Step 4: Simplify right side
   1,431.77x = 1,664,901.36
5. Step 5: Solve for x
   x = 1,664,901.36/1,431.77
6. Step 6: Final answer
   x = 1,162.83