Finding the Fourth Proportional to 3,682.16, 5,082.98 and 2,562.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,682.16 : 5,082.98 = 2,562.69 : x
2. Step 2: Convert to fraction form
   3,682.16/5,082.98 = 2,562.69/x
3. Step 3: Cross multiply
   3,682.16x = 5,082.98 × 2,562.69
4. Step 4: Simplify right side
   3,682.16x = 13,026,102.02
5. Step 5: Solve for x
   x = 13,026,102.02/3,682.16
6. Step 6: Final answer
   x = 3,537.63