Finding the Fourth Proportional to 1,148.24, 1,584.57 and 676.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,148.24 : 1,584.57 = 676.15 : x
2. Step 2: Convert to fraction form
   1,148.24/1,584.57 = 676.15/x
3. Step 3: Cross multiply
   1,148.24x = 1,584.57 × 676.15
4. Step 4: Simplify right side
   1,148.24x = 1,071,407.01
5. Step 5: Solve for x
   x = 1,071,407.01/1,148.24
6. Step 6: Final answer
   x = 933.09