Finding the Fourth Proportional to 3,820.10, 5,735.55 and 2,362.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,820.10 : 5,735.55 = 2,362.10 : x
2. Step 2: Convert to fraction form
   3,820.10/5,735.55 = 2,362.10/x
3. Step 3: Cross multiply
   3,820.10x = 5,735.55 × 2,362.10
4. Step 4: Simplify right side
   3,820.10x = 13,547,942.66
5. Step 5: Solve for x
   x = 13,547,942.66/3,820.10
6. Step 6: Final answer
   x = 3,546.49