Finding the Fourth Proportional to 5,673.94, 7,827.90 and 4,185.43

Step by Step Solution

1. Step 1: Write the proportion equation
   5,673.94 : 7,827.90 = 4,185.43 : x
2. Step 2: Convert to fraction form
   5,673.94/7,827.90 = 4,185.43/x
3. Step 3: Cross multiply
   5,673.94x = 7,827.90 × 4,185.43
4. Step 4: Simplify right side
   5,673.94x = 32,763,127.50
5. Step 5: Solve for x
   x = 32,763,127.50/5,673.94
6. Step 6: Final answer
   x = 5,774.32