Finding the Fourth Proportional to 1,056.85, 1,458.56 and 584.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.85 : 1,458.56 = 584.78 : x
2. Step 2: Convert to fraction form
   1,056.85/1,458.56 = 584.78/x
3. Step 3: Cross multiply
   1,056.85x = 1,458.56 × 584.78
4. Step 4: Simplify right side
   1,056.85x = 852,941.83
5. Step 5: Solve for x
   x = 852,941.83/1,056.85
6. Step 6: Final answer
   x = 807.06