Finding the Fourth Proportional to 5,685.43, 7,847.82 and 3,893.98

Step by Step Solution

1. Step 1: Write the proportion equation
   5,685.43 : 7,847.82 = 3,893.98 : x
2. Step 2: Convert to fraction form
   5,685.43/7,847.82 = 3,893.98/x
3. Step 3: Cross multiply
   5,685.43x = 7,847.82 × 3,893.98
4. Step 4: Simplify right side
   5,685.43x = 30,559,254.12
5. Step 5: Solve for x
   x = 30,559,254.12/5,685.43
6. Step 6: Final answer
   x = 5,375.01