Finding the Fourth Proportional to 1,056.84, 1,458.42 and 584.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.84 : 1,458.42 = 584.72 : x
2. Step 2: Convert to fraction form
   1,056.84/1,458.42 = 584.72/x
3. Step 3: Cross multiply
   1,056.84x = 1,458.42 × 584.72
4. Step 4: Simplify right side
   1,056.84x = 852,767.34
5. Step 5: Solve for x
   x = 852,767.34/1,056.84
6. Step 6: Final answer
   x = 806.90