Finding the Fourth Proportional to 1,499.82, 2,249.82 and 459.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,499.82 : 2,249.82 = 459.90 : x
2. Step 2: Convert to fraction form
   1,499.82/2,249.82 = 459.90/x
3. Step 3: Cross multiply
   1,499.82x = 2,249.82 × 459.90
4. Step 4: Simplify right side
   1,499.82x = 1,034,692.22
5. Step 5: Solve for x
   x = 1,034,692.22/1,499.82
6. Step 6: Final answer
   x = 689.88