Finding the Fourth Proportional to 1,022.72, 1,532.31 and 804.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.72 : 1,532.31 = 804.76 : x
2. Step 2: Convert to fraction form
   1,022.72/1,532.31 = 804.76/x
3. Step 3: Cross multiply
   1,022.72x = 1,532.31 × 804.76
4. Step 4: Simplify right side
   1,022.72x = 1,233,134.13
5. Step 5: Solve for x
   x = 1,233,134.13/1,022.72
6. Step 6: Final answer
   x = 1,205.74