Finding the Fourth Proportional to 1,100.87, 1,519.83 and 728.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.87 : 1,519.83 = 728.93 : x
2. Step 2: Convert to fraction form
   1,100.87/1,519.83 = 728.93/x
3. Step 3: Cross multiply
   1,100.87x = 1,519.83 × 728.93
4. Step 4: Simplify right side
   1,100.87x = 1,107,849.68
5. Step 5: Solve for x
   x = 1,107,849.68/1,100.87
6. Step 6: Final answer
   x = 1,006.34