Finding the Fourth Proportional to 2,559.68, 3,836.33 and 1,097.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,559.68 : 3,836.33 = 1,097.14 : x
2. Step 2: Convert to fraction form
   2,559.68/3,836.33 = 1,097.14/x
3. Step 3: Cross multiply
   2,559.68x = 3,836.33 × 1,097.14
4. Step 4: Simplify right side
   2,559.68x = 4,208,966.43
5. Step 5: Solve for x
   x = 4,208,966.43/2,559.68
6. Step 6: Final answer
   x = 1,644.33