Finding the Fourth Proportional to 1,499.72, 2,249.61 and 677.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,499.72 : 2,249.61 = 677.84 : x
2. Step 2: Convert to fraction form
   1,499.72/2,249.61 = 677.84/x
3. Step 3: Cross multiply
   1,499.72x = 2,249.61 × 677.84
4. Step 4: Simplify right side
   1,499.72x = 1,524,875.64
5. Step 5: Solve for x
   x = 1,524,875.64/1,499.72
6. Step 6: Final answer
   x = 1,016.77