Finding the Fourth Proportional to 1,854.52, 2,781.42 and 684.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,854.52 : 2,781.42 = 684.34 : x
2. Step 2: Convert to fraction form
   1,854.52/2,781.42 = 684.34/x
3. Step 3: Cross multiply
   1,854.52x = 2,781.42 × 684.34
4. Step 4: Simplify right side
   1,854.52x = 1,903,436.96
5. Step 5: Solve for x
   x = 1,903,436.96/1,854.52
6. Step 6: Final answer
   x = 1,026.38