Finding the Fourth Proportional to 1,046.50, 1,568.56 and 584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,046.50 : 1,568.56 = 584.50 : x
2. Step 2: Convert to fraction form
   1,046.50/1,568.56 = 584.50/x
3. Step 3: Cross multiply
   1,046.50x = 1,568.56 × 584.50
4. Step 4: Simplify right side
   1,046.50x = 916,812.55
5. Step 5: Solve for x
   x = 916,812.55/1,046.50
6. Step 6: Final answer
   x = 876.08