Finding the Fourth Proportional to 1,056.71, 1,458.27 and 584.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.71 : 1,458.27 = 584.62 : x
2. Step 2: Convert to fraction form
   1,056.71/1,458.27 = 584.62/x
3. Step 3: Cross multiply
   1,056.71x = 1,458.27 × 584.62
4. Step 4: Simplify right side
   1,056.71x = 852,533.81
5. Step 5: Solve for x
   x = 852,533.81/1,056.71
6. Step 6: Final answer
   x = 806.78