Finding the Fourth Proportional to 2,082.21, 2,870.10 and 1,829.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.21 : 2,870.10 = 1,829.49 : x
2. Step 2: Convert to fraction form
   2,082.21/2,870.10 = 1,829.49/x
3. Step 3: Cross multiply
   2,082.21x = 2,870.10 × 1,829.49
4. Step 4: Simplify right side
   2,082.21x = 5,250,819.25
5. Step 5: Solve for x
   x = 5,250,819.25/2,082.21
6. Step 6: Final answer
   x = 2,521.75