Finding the Fourth Proportional to 5,672.81, 7,825.60 and 3,684.47

Step by Step Solution

1. Step 1: Write the proportion equation
   5,672.81 : 7,825.60 = 3,684.47 : x
2. Step 2: Convert to fraction form
   5,672.81/7,825.60 = 3,684.47/x
3. Step 3: Cross multiply
   5,672.81x = 7,825.60 × 3,684.47
4. Step 4: Simplify right side
   5,672.81x = 28,833,188.43
5. Step 5: Solve for x
   x = 28,833,188.43/5,672.81
6. Step 6: Final answer
   x = 5,082.70