Finding the Fourth Proportional to 1,410.82, 1,946.76 and 781.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.82 : 1,946.76 = 781.30 : x
2. Step 2: Convert to fraction form
   1,410.82/1,946.76 = 781.30/x
3. Step 3: Cross multiply
   1,410.82x = 1,946.76 × 781.30
4. Step 4: Simplify right side
   1,410.82x = 1,521,003.59
5. Step 5: Solve for x
   x = 1,521,003.59/1,410.82
6. Step 6: Final answer
   x = 1,078.10