Finding the Fourth Proportional to 1,100.69, 1,519.31 and 727.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.69 : 1,519.31 = 727.91 : x
2. Step 2: Convert to fraction form
   1,100.69/1,519.31 = 727.91/x
3. Step 3: Cross multiply
   1,100.69x = 1,519.31 × 727.91
4. Step 4: Simplify right side
   1,100.69x = 1,105,917.30
5. Step 5: Solve for x
   x = 1,105,917.30/1,100.69
6. Step 6: Final answer
   x = 1,004.75