Finding the Fourth Proportional to 1,148.34, 1,584.42 and 912.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,148.34 : 1,584.42 = 912.30 : x
2. Step 2: Convert to fraction form
   1,148.34/1,584.42 = 912.30/x
3. Step 3: Cross multiply
   1,148.34x = 1,584.42 × 912.30
4. Step 4: Simplify right side
   1,148.34x = 1,445,466.37
5. Step 5: Solve for x
   x = 1,445,466.37/1,148.34
6. Step 6: Final answer
   x = 1,258.74