Finding the Fourth Proportional to 2,741.63, 3,783.15 and 1,546.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,741.63 : 3,783.15 = 1,546.38 : x
2. Step 2: Convert to fraction form
   2,741.63/3,783.15 = 1,546.38/x
3. Step 3: Cross multiply
   2,741.63x = 3,783.15 × 1,546.38
4. Step 4: Simplify right side
   2,741.63x = 5,850,187.50
5. Step 5: Solve for x
   x = 5,850,187.50/2,741.63
6. Step 6: Final answer
   x = 2,133.84