Finding the Fourth Proportional to 1,410.52, 1,946.49 and 781.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.52 : 1,946.49 = 781.09 : x
2. Step 2: Convert to fraction form
   1,410.52/1,946.49 = 781.09/x
3. Step 3: Cross multiply
   1,410.52x = 1,946.49 × 781.09
4. Step 4: Simplify right side
   1,410.52x = 1,520,383.87
5. Step 5: Solve for x
   x = 1,520,383.87/1,410.52
6. Step 6: Final answer
   x = 1,077.89