Finding the Fourth Proportional to 1,152.28, 1,585.33 and 1,005.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.28 : 1,585.33 = 1,005.27 : x
2. Step 2: Convert to fraction form
   1,152.28/1,585.33 = 1,005.27/x
3. Step 3: Cross multiply
   1,152.28x = 1,585.33 × 1,005.27
4. Step 4: Simplify right side
   1,152.28x = 1,593,684.69
5. Step 5: Solve for x
   x = 1,593,684.69/1,152.28
6. Step 6: Final answer
   x = 1,383.07