Finding the Fourth Proportional to 2,546.28, 3,817.98 and 1,506.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.28 : 3,817.98 = 1,506.42 : x
2. Step 2: Convert to fraction form
   2,546.28/3,817.98 = 1,506.42/x
3. Step 3: Cross multiply
   2,546.28x = 3,817.98 × 1,506.42
4. Step 4: Simplify right side
   2,546.28x = 5,751,481.43
5. Step 5: Solve for x
   x = 5,751,481.43/2,546.28
6. Step 6: Final answer
   x = 2,258.78