Finding the Fourth Proportional to 5,676.50, 7,828.53 and 3,685.16

Step by Step Solution

1. Step 1: Write the proportion equation
   5,676.50 : 7,828.53 = 3,685.16 : x
2. Step 2: Convert to fraction form
   5,676.50/7,828.53 = 3,685.16/x
3. Step 3: Cross multiply
   5,676.50x = 7,828.53 × 3,685.16
4. Step 4: Simplify right side
   5,676.50x = 28,849,385.61
5. Step 5: Solve for x
   x = 28,849,385.61/5,676.50
6. Step 6: Final answer
   x = 5,082.25