Finding the Fourth Proportional to 3,872.25, 5,809.10 and 1,820.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,872.25 : 5,809.10 = 1,820.25 : x
2. Step 2: Convert to fraction form
   3,872.25/5,809.10 = 1,820.25/x
3. Step 3: Cross multiply
   3,872.25x = 5,809.10 × 1,820.25
4. Step 4: Simplify right side
   3,872.25x = 10,574,005.17
5. Step 5: Solve for x
   x = 10,574,005.17/3,872.25
6. Step 6: Final answer
   x = 2,730.71