Finding the Fourth Proportional to 1,035.89, 1,429.56 and 563.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,035.89 : 1,429.56 = 563.82 : x
2. Step 2: Convert to fraction form
   1,035.89/1,429.56 = 563.82/x
3. Step 3: Cross multiply
   1,035.89x = 1,429.56 × 563.82
4. Step 4: Simplify right side
   1,035.89x = 806,014.52
5. Step 5: Solve for x
   x = 806,014.52/1,035.89
6. Step 6: Final answer
   x = 778.09