Finding the Fourth Proportional to 1,855.08, 2,781.81 and 684.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,855.08 : 2,781.81 = 684.72 : x
2. Step 2: Convert to fraction form
   1,855.08/2,781.81 = 684.72/x
3. Step 3: Cross multiply
   1,855.08x = 2,781.81 × 684.72
4. Step 4: Simplify right side
   1,855.08x = 1,904,760.94
5. Step 5: Solve for x
   x = 1,904,760.94/1,855.08
6. Step 6: Final answer
   x = 1,026.78