Finding the Fourth Proportional to 1,100.76, 1,519.29 and 727.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.76 : 1,519.29 = 727.80 : x
2. Step 2: Convert to fraction form
   1,100.76/1,519.29 = 727.80/x
3. Step 3: Cross multiply
   1,100.76x = 1,519.29 × 727.80
4. Step 4: Simplify right side
   1,100.76x = 1,105,739.26
5. Step 5: Solve for x
   x = 1,105,739.26/1,100.76
6. Step 6: Final answer
   x = 1,004.52