Finding the Fourth Proportional to 1,092.64, 1,509.06 and 742.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.64 : 1,509.06 = 742.72 : x
2. Step 2: Convert to fraction form
   1,092.64/1,509.06 = 742.72/x
3. Step 3: Cross multiply
   1,092.64x = 1,509.06 × 742.72
4. Step 4: Simplify right side
   1,092.64x = 1,120,809.04
5. Step 5: Solve for x
   x = 1,120,809.04/1,092.64
6. Step 6: Final answer
   x = 1,025.78