Finding the Fourth Proportional to 2,541.92, 3,506.82 and 1,546.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,541.92 : 3,506.82 = 1,546.40 : x
2. Step 2: Convert to fraction form
   2,541.92/3,506.82 = 1,546.40/x
3. Step 3: Cross multiply
   2,541.92x = 3,506.82 × 1,546.40
4. Step 4: Simplify right side
   2,541.92x = 5,422,946.45
5. Step 5: Solve for x
   x = 5,422,946.45/2,541.92
6. Step 6: Final answer
   x = 2,133.41