Finding the Fourth Proportional to 1,020.69, 1,527.84 and 727.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.69 : 1,527.84 = 727.27 : x
2. Step 2: Convert to fraction form
   1,020.69/1,527.84 = 727.27/x
3. Step 3: Cross multiply
   1,020.69x = 1,527.84 × 727.27
4. Step 4: Simplify right side
   1,020.69x = 1,111,152.20
5. Step 5: Solve for x
   x = 1,111,152.20/1,020.69
6. Step 6: Final answer
   x = 1,088.63