Finding the Fourth Proportional to 1,133.83, 1,564.76 and 636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,133.83 : 1,564.76 = 636.50 : x
2. Step 2: Convert to fraction form
   1,133.83/1,564.76 = 636.50/x
3. Step 3: Cross multiply
   1,133.83x = 1,564.76 × 636.50
4. Step 4: Simplify right side
   1,133.83x = 995,969.74
5. Step 5: Solve for x
   x = 995,969.74/1,133.83
6. Step 6: Final answer
   x = 878.41