Finding the Fourth Proportional to 2,665.51, 3,678.36 and 1,546.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.51 : 3,678.36 = 1,546.63 : x
2. Step 2: Convert to fraction form
   2,665.51/3,678.36 = 1,546.63/x
3. Step 3: Cross multiply
   2,665.51x = 3,678.36 × 1,546.63
4. Step 4: Simplify right side
   2,665.51x = 5,689,076.32
5. Step 5: Solve for x
   x = 5,689,076.32/2,665.51
6. Step 6: Final answer
   x = 2,134.33