Finding the Fourth Proportional to 1,188.69, 1,781.16 and 563.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188.69 : 1,781.16 = 563.27 : x
2. Step 2: Convert to fraction form
   1,188.69/1,781.16 = 563.27/x
3. Step 3: Cross multiply
   1,188.69x = 1,781.16 × 563.27
4. Step 4: Simplify right side
   1,188.69x = 1,003,262.98
5. Step 5: Solve for x
   x = 1,003,262.98/1,188.69
6. Step 6: Final answer
   x = 844.01