Finding the Fourth Proportional to 5,678.52, 8,513.52 and 3,824.43

Step by Step Solution

1. Step 1: Write the proportion equation
   5,678.52 : 8,513.52 = 3,824.43 : x
2. Step 2: Convert to fraction form
   5,678.52/8,513.52 = 3,824.43/x
3. Step 3: Cross multiply
   5,678.52x = 8,513.52 × 3,824.43
4. Step 4: Simplify right side
   5,678.52x = 32,559,361.29
5. Step 5: Solve for x
   x = 32,559,361.29/5,678.52
6. Step 6: Final answer
   x = 5,733.78