Finding the Fourth Proportional to 1,499.78, 2,249.67 and 404.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,499.78 : 2,249.67 = 404.14 : x
2. Step 2: Convert to fraction form
   1,499.78/2,249.67 = 404.14/x
3. Step 3: Cross multiply
   1,499.78x = 2,249.67 × 404.14
4. Step 4: Simplify right side
   1,499.78x = 909,181.63
5. Step 5: Solve for x
   x = 909,181.63/1,499.78
6. Step 6: Final answer
   x = 606.21