Finding the Fourth Proportional to 1,141.98, 1,576.47 and 728.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.98 : 1,576.47 = 728.22 : x
2. Step 2: Convert to fraction form
   1,141.98/1,576.47 = 728.22/x
3. Step 3: Cross multiply
   1,141.98x = 1,576.47 × 728.22
4. Step 4: Simplify right side
   1,141.98x = 1,148,016.98
5. Step 5: Solve for x
   x = 1,148,016.98/1,141.98
6. Step 6: Final answer
   x = 1,005.29