Finding the Fourth Proportional to 3,633.50, 5,446.43 and 1,684.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,633.50 : 5,446.43 = 1,684.10 : x
2. Step 2: Convert to fraction form
   3,633.50/5,446.43 = 1,684.10/x
3. Step 3: Cross multiply
   3,633.50x = 5,446.43 × 1,684.10
4. Step 4: Simplify right side
   3,633.50x = 9,172,332.76
5. Step 5: Solve for x
   x = 9,172,332.76/3,633.50
6. Step 6: Final answer
   x = 2,524.38