Finding the Fourth Proportional to 2,540.78, 3,506.32 and 1,546.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540.78 : 3,506.32 = 1,546.10 : x
2. Step 2: Convert to fraction form
   2,540.78/3,506.32 = 1,546.10/x
3. Step 3: Cross multiply
   2,540.78x = 3,506.32 × 1,546.10
4. Step 4: Simplify right side
   2,540.78x = 5,421,121.35
5. Step 5: Solve for x
   x = 5,421,121.35/2,540.78
6. Step 6: Final answer
   x = 2,133.64