Finding the Fourth Proportional to 1,022.87, 1,411.56 and 568.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.87 : 1,411.56 = 568.61 : x
2. Step 2: Convert to fraction form
   1,022.87/1,411.56 = 568.61/x
3. Step 3: Cross multiply
   1,022.87x = 1,411.56 × 568.61
4. Step 4: Simplify right side
   1,022.87x = 802,620.07
5. Step 5: Solve for x
   x = 802,620.07/1,022.87
6. Step 6: Final answer
   x = 784.68