Finding the Fourth Proportional to 1,856.00, 2,784.31 and 686.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,856.00 : 2,784.31 = 686.00 : x
2. Step 2: Convert to fraction form
   1,856.00/2,784.31 = 686.00/x
3. Step 3: Cross multiply
   1,856.00x = 2,784.31 × 686.00
4. Step 4: Simplify right side
   1,856.00x = 1,910,047.75
5. Step 5: Solve for x
   x = 1,910,047.75/1,856.00
6. Step 6: Final answer
   x = 1,029.12