Finding the Fourth Proportional to 1,148.57, 1,584.52 and 706.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,148.57 : 1,584.52 = 706.31 : x
2. Step 2: Convert to fraction form
   1,148.57/1,584.52 = 706.31/x
3. Step 3: Cross multiply
   1,148.57x = 1,584.52 × 706.31
4. Step 4: Simplify right side
   1,148.57x = 1,119,162.32
5. Step 5: Solve for x
   x = 1,119,162.32/1,148.57
6. Step 6: Final answer
   x = 974.40