Finding the Fourth Proportional to 1,404.09, 2,105.46 and 581.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.09 : 2,105.46 = 581.76 : x
2. Step 2: Convert to fraction form
   1,404.09/2,105.46 = 581.76/x
3. Step 3: Cross multiply
   1,404.09x = 2,105.46 × 581.76
4. Step 4: Simplify right side
   1,404.09x = 1,224,872.41
5. Step 5: Solve for x
   x = 1,224,872.41/1,404.09
6. Step 6: Final answer
   x = 872.36