Finding the Fourth Proportional to 1,410.82, 1,946.78 and 781.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.82 : 1,946.78 = 781.28 : x
2. Step 2: Convert to fraction form
   1,410.82/1,946.78 = 781.28/x
3. Step 3: Cross multiply
   1,410.82x = 1,946.78 × 781.28
4. Step 4: Simplify right side
   1,410.82x = 1,520,980.28
5. Step 5: Solve for x
   x = 1,520,980.28/1,410.82
6. Step 6: Final answer
   x = 1,078.08