Finding the Fourth Proportional to 1,256.55, 1,884.22 and 563.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.55 : 1,884.22 = 563.22 : x
2. Step 2: Convert to fraction form
   1,256.55/1,884.22 = 563.22/x
3. Step 3: Cross multiply
   1,256.55x = 1,884.22 × 563.22
4. Step 4: Simplify right side
   1,256.55x = 1,061,222.86
5. Step 5: Solve for x
   x = 1,061,222.86/1,256.55
6. Step 6: Final answer
   x = 844.56