Finding the Fourth Proportional to 1,148.54, 1,584.70 and 700.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,148.54 : 1,584.70 = 700.42 : x
2. Step 2: Convert to fraction form
   1,148.54/1,584.70 = 700.42/x
3. Step 3: Cross multiply
   1,148.54x = 1,584.70 × 700.42
4. Step 4: Simplify right side
   1,148.54x = 1,109,955.57
5. Step 5: Solve for x
   x = 1,109,955.57/1,148.54
6. Step 6: Final answer
   x = 966.41