Finding the Fourth Proportional to 1,256.78, 1,885.22 and 563.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.78 : 1,885.22 = 563.31 : x
2. Step 2: Convert to fraction form
   1,256.78/1,885.22 = 563.31/x
3. Step 3: Cross multiply
   1,256.78x = 1,885.22 × 563.31
4. Step 4: Simplify right side
   1,256.78x = 1,061,960.46
5. Step 5: Solve for x
   x = 1,061,960.46/1,256.78
6. Step 6: Final answer
   x = 844.99