Finding the Fourth Proportional to 2,546.58, 3,819.94 and 1,159.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.58 : 3,819.94 = 1,159.20 : x
2. Step 2: Convert to fraction form
   2,546.58/3,819.94 = 1,159.20/x
3. Step 3: Cross multiply
   2,546.58x = 3,819.94 × 1,159.20
4. Step 4: Simplify right side
   2,546.58x = 4,428,074.45
5. Step 5: Solve for x
   x = 4,428,074.45/2,546.58
6. Step 6: Final answer
   x = 1,738.83