Finding the Fourth Proportional to 1,133.72, 1,564.59 and 636.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,133.72 : 1,564.59 = 636.33 : x
2. Step 2: Convert to fraction form
   1,133.72/1,564.59 = 636.33/x
3. Step 3: Cross multiply
   1,133.72x = 1,564.59 × 636.33
4. Step 4: Simplify right side
   1,133.72x = 995,595.55
5. Step 5: Solve for x
   x = 995,595.55/1,133.72
6. Step 6: Final answer
   x = 878.17