Finding the Fourth Proportional to 2,564.84, 3,849.08 and 1,397.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.84 : 3,849.08 = 1,397.22 : x
2. Step 2: Convert to fraction form
   2,564.84/3,849.08 = 1,397.22/x
3. Step 3: Cross multiply
   2,564.84x = 3,849.08 × 1,397.22
4. Step 4: Simplify right side
   2,564.84x = 5,378,011.56
5. Step 5: Solve for x
   x = 5,378,011.56/2,564.84
6. Step 6: Final answer
   x = 2,096.82