Finding the Fourth Proportional to 1,033.50, 1,426.23 and 567.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,033.50 : 1,426.23 = 567.78 : x
2. Step 2: Convert to fraction form
   1,033.50/1,426.23 = 567.78/x
3. Step 3: Cross multiply
   1,033.50x = 1,426.23 × 567.78
4. Step 4: Simplify right side
   1,033.50x = 809,784.87
5. Step 5: Solve for x
   x = 809,784.87/1,033.50
6. Step 6: Final answer
   x = 783.54