Finding the Fourth Proportional to 8,564.74, 12,841.61 and 3,633.05

Step by Step Solution

1. Step 1: Write the proportion equation
   8,564.74 : 12,841.61 = 3,633.05 : x
2. Step 2: Convert to fraction form
   8,564.74/12,841.61 = 3,633.05/x
3. Step 3: Cross multiply
   8,564.74x = 12,841.61 × 3,633.05
4. Step 4: Simplify right side
   8,564.74x = 46,654,225.15
5. Step 5: Solve for x
   x = 46,654,225.15/8,564.74
6. Step 6: Final answer
   x = 5,447.25