Finding the Fourth Proportional to 1,147.57, 1,583.15 and 705.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.57 : 1,583.15 = 705.31 : x
2. Step 2: Convert to fraction form
   1,147.57/1,583.15 = 705.31/x
3. Step 3: Cross multiply
   1,147.57x = 1,583.15 × 705.31
4. Step 4: Simplify right side
   1,147.57x = 1,116,604.04
5. Step 5: Solve for x
   x = 1,116,604.04/1,147.57
6. Step 6: Final answer
   x = 973.02