Finding the Fourth Proportional to 1,056.91, 1,458.50 and 584.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.91 : 1,458.50 = 584.78 : x
2. Step 2: Convert to fraction form
   1,056.91/1,458.50 = 584.78/x
3. Step 3: Cross multiply
   1,056.91x = 1,458.50 × 584.78
4. Step 4: Simplify right side
   1,056.91x = 852,901.63
5. Step 5: Solve for x
   x = 852,901.63/1,056.91
6. Step 6: Final answer
   x = 806.98