Finding the Fourth Proportional to 1,855.71, 2,784.98 and 686.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,855.71 : 2,784.98 = 686.82 : x
2. Step 2: Convert to fraction form
   1,855.71/2,784.98 = 686.82/x
3. Step 3: Cross multiply
   1,855.71x = 2,784.98 × 686.82
4. Step 4: Simplify right side
   1,855.71x = 1,912,776.53
5. Step 5: Solve for x
   x = 1,912,776.53/1,855.71
6. Step 6: Final answer
   x = 1,030.75