Finding the Fourth Proportional to 1,410.92, 1,946.92 and 781.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.92 : 1,946.92 = 781.35 : x
2. Step 2: Convert to fraction form
   1,410.92/1,946.92 = 781.35/x
3. Step 3: Cross multiply
   1,410.92x = 1,946.92 × 781.35
4. Step 4: Simplify right side
   1,410.92x = 1,521,218.15
5. Step 5: Solve for x
   x = 1,521,218.15/1,410.92
6. Step 6: Final answer
   x = 1,078.18