Finding the Fourth Proportional to 5,640.71, 8,451.82 and 3,994.30

Step by Step Solution

1. Step 1: Write the proportion equation
   5,640.71 : 8,451.82 = 3,994.30 : x
2. Step 2: Convert to fraction form
   5,640.71/8,451.82 = 3,994.30/x
3. Step 3: Cross multiply
   5,640.71x = 8,451.82 × 3,994.30
4. Step 4: Simplify right side
   5,640.71x = 33,759,094.64
5. Step 5: Solve for x
   x = 33,759,094.64/5,640.71
6. Step 6: Final answer
   x = 5,984.90