Finding the Fourth Proportional to 1,298.23, 1,945.82 and 682.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.23 : 1,945.82 = 682.22 : x
2. Step 2: Convert to fraction form
   1,298.23/1,945.82 = 682.22/x
3. Step 3: Cross multiply
   1,298.23x = 1,945.82 × 682.22
4. Step 4: Simplify right side
   1,298.23x = 1,327,483.89
5. Step 5: Solve for x
   x = 1,327,483.89/1,298.23
6. Step 6: Final answer
   x = 1,022.54