Finding the Fourth Proportional to 1,147.28, 1,583.33 and 705.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.28 : 1,583.33 = 705.33 : x
2. Step 2: Convert to fraction form
   1,147.28/1,583.33 = 705.33/x
3. Step 3: Cross multiply
   1,147.28x = 1,583.33 × 705.33
4. Step 4: Simplify right side
   1,147.28x = 1,116,766.62
5. Step 5: Solve for x
   x = 1,116,766.62/1,147.28
6. Step 6: Final answer
   x = 973.41