Finding the Fourth Proportional to 1,298.81, 1,948.78 and 682.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.81 : 1,948.78 = 682.37 : x
2. Step 2: Convert to fraction form
   1,298.81/1,948.78 = 682.37/x
3. Step 3: Cross multiply
   1,298.81x = 1,948.78 × 682.37
4. Step 4: Simplify right side
   1,298.81x = 1,329,789.01
5. Step 5: Solve for x
   x = 1,329,789.01/1,298.81
6. Step 6: Final answer
   x = 1,023.85