Finding the Fourth Proportional to 1,033.61, 1,426.37 and 561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,033.61 : 1,426.37 = 561.50 : x
2. Step 2: Convert to fraction form
   1,033.61/1,426.37 = 561.50/x
3. Step 3: Cross multiply
   1,033.61x = 1,426.37 × 561.50
4. Step 4: Simplify right side
   1,033.61x = 800,896.82
5. Step 5: Solve for x
   x = 800,896.82/1,033.61
6. Step 6: Final answer
   x = 774.86