Finding the Fourth Proportional to 1,148.31, 1,584.18 and 682.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,148.31 : 1,584.18 = 682.56 : x
2. Step 2: Convert to fraction form
   1,148.31/1,584.18 = 682.56/x
3. Step 3: Cross multiply
   1,148.31x = 1,584.18 × 682.56
4. Step 4: Simplify right side
   1,148.31x = 1,081,297.90
5. Step 5: Solve for x
   x = 1,081,297.90/1,148.31
6. Step 6: Final answer
   x = 941.64