Finding the Fourth Proportional to 1,092.72, 1,508.04 and 842.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.72 : 1,508.04 = 842.88 : x
2. Step 2: Convert to fraction form
   1,092.72/1,508.04 = 842.88/x
3. Step 3: Cross multiply
   1,092.72x = 1,508.04 × 842.88
4. Step 4: Simplify right side
   1,092.72x = 1,271,096.76
5. Step 5: Solve for x
   x = 1,271,096.76/1,092.72
6. Step 6: Final answer
   x = 1,163.24