Finding the Fourth Proportional to 1,405.69, 2,109.74 and 584.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.69 : 2,109.74 = 584.55 : x
2. Step 2: Convert to fraction form
   1,405.69/2,109.74 = 584.55/x
3. Step 3: Cross multiply
   1,405.69x = 2,109.74 × 584.55
4. Step 4: Simplify right side
   1,405.69x = 1,233,245.59
5. Step 5: Solve for x
   x = 1,233,245.59/1,405.69
6. Step 6: Final answer
   x = 877.33