Finding the Fourth Proportional to 1,056.77, 1,458.33 and 584.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.77 : 1,458.33 = 584.69 : x
2. Step 2: Convert to fraction form
   1,056.77/1,458.33 = 584.69/x
3. Step 3: Cross multiply
   1,056.77x = 1,458.33 × 584.69
4. Step 4: Simplify right side
   1,056.77x = 852,661.48
5. Step 5: Solve for x
   x = 852,661.48/1,056.77
6. Step 6: Final answer
   x = 806.86