Finding the Fourth Proportional to 2,540.94, 3,507.54 and 1,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540.94 : 3,507.54 = 1,546.50 : x
2. Step 2: Convert to fraction form
   2,540.94/3,507.54 = 1,546.50/x
3. Step 3: Cross multiply
   2,540.94x = 3,507.54 × 1,546.50
4. Step 4: Simplify right side
   2,540.94x = 5,424,410.61
5. Step 5: Solve for x
   x = 5,424,410.61/2,540.94
6. Step 6: Final answer
   x = 2,134.80