Finding the Fourth Proportional to 1,404.62, 2,105.74 and 582.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.62 : 2,105.74 = 582.38 : x
2. Step 2: Convert to fraction form
   1,404.62/2,105.74 = 582.38/x
3. Step 3: Cross multiply
   1,404.62x = 2,105.74 × 582.38
4. Step 4: Simplify right side
   1,404.62x = 1,226,340.86
5. Step 5: Solve for x
   x = 1,226,340.86/1,404.62
6. Step 6: Final answer
   x = 873.08