Finding the Fourth Proportional to 2,566.21, 3,849.86 and 2,200.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.21 : 3,849.86 = 2,200.09 : x
2. Step 2: Convert to fraction form
   2,566.21/3,849.86 = 2,200.09/x
3. Step 3: Cross multiply
   2,566.21x = 3,849.86 × 2,200.09
4. Step 4: Simplify right side
   2,566.21x = 8,470,038.49
5. Step 5: Solve for x
   x = 8,470,038.49/2,566.21
6. Step 6: Final answer
   x = 3,300.60