Finding the Fourth Proportional to 1,056.09, 1,457.39 and 584.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.09 : 1,457.39 = 584.02 : x
2. Step 2: Convert to fraction form
   1,056.09/1,457.39 = 584.02/x
3. Step 3: Cross multiply
   1,056.09x = 1,457.39 × 584.02
4. Step 4: Simplify right side
   1,056.09x = 851,144.91
5. Step 5: Solve for x
   x = 851,144.91/1,056.09
6. Step 6: Final answer
   x = 805.94