Finding the Fourth Proportional to 1,404.19, 2,105.83 and 582.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.19 : 2,105.83 = 582.02 : x
2. Step 2: Convert to fraction form
   1,404.19/2,105.83 = 582.02/x
3. Step 3: Cross multiply
   1,404.19x = 2,105.83 × 582.02
4. Step 4: Simplify right side
   1,404.19x = 1,225,635.18
5. Step 5: Solve for x
   x = 1,225,635.18/1,404.19
6. Step 6: Final answer
   x = 872.84