Finding the Fourth Proportional to 1,298.90, 1,948.69 and 682.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.90 : 1,948.69 = 682.43 : x
2. Step 2: Convert to fraction form
   1,298.90/1,948.69 = 682.43/x
3. Step 3: Cross multiply
   1,298.90x = 1,948.69 × 682.43
4. Step 4: Simplify right side
   1,298.90x = 1,329,844.52
5. Step 5: Solve for x
   x = 1,329,844.52/1,298.90
6. Step 6: Final answer
   x = 1,023.82