Finding the Fourth Proportional to 1,026.75, 1,536.82 and 563.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.75 : 1,536.82 = 563.38 : x
2. Step 2: Convert to fraction form
   1,026.75/1,536.82 = 563.38/x
3. Step 3: Cross multiply
   1,026.75x = 1,536.82 × 563.38
4. Step 4: Simplify right side
   1,026.75x = 865,815.89
5. Step 5: Solve for x
   x = 865,815.89/1,026.75
6. Step 6: Final answer
   x = 843.26