Finding the Fourth Proportional to 1,035.89, 1,429.52 and 563.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,035.89 : 1,429.52 = 563.78 : x
2. Step 2: Convert to fraction form
   1,035.89/1,429.52 = 563.78/x
3. Step 3: Cross multiply
   1,035.89x = 1,429.52 × 563.78
4. Step 4: Simplify right side
   1,035.89x = 805,924.82
5. Step 5: Solve for x
   x = 805,924.82/1,035.89
6. Step 6: Final answer
   x = 778.01