Finding the Fourth Proportional to 1,050.56, 1,449.72 and 584.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,050.56 : 1,449.72 = 584.80 : x
2. Step 2: Convert to fraction form
   1,050.56/1,449.72 = 584.80/x
3. Step 3: Cross multiply
   1,050.56x = 1,449.72 × 584.80
4. Step 4: Simplify right side
   1,050.56x = 847,796.26
5. Step 5: Solve for x
   x = 847,796.26/1,050.56
6. Step 6: Final answer
   x = 806.99