Finding the Fourth Proportional to 1,147.82, 1,583.37 and 727.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.82 : 1,583.37 = 727.43 : x
2. Step 2: Convert to fraction form
   1,147.82/1,583.37 = 727.43/x
3. Step 3: Cross multiply
   1,147.82x = 1,583.37 × 727.43
4. Step 4: Simplify right side
   1,147.82x = 1,151,782.92
5. Step 5: Solve for x
   x = 1,151,782.92/1,147.82
6. Step 6: Final answer
   x = 1,003.46