Finding the Fourth Proportional to 1,056.57, 1,458.12 and 584.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.57 : 1,458.12 = 584.52 : x
2. Step 2: Convert to fraction form
   1,056.57/1,458.12 = 584.52/x
3. Step 3: Cross multiply
   1,056.57x = 1,458.12 × 584.52
4. Step 4: Simplify right side
   1,056.57x = 852,300.30
5. Step 5: Solve for x
   x = 852,300.30/1,056.57
6. Step 6: Final answer
   x = 806.67