Finding the Fourth Proportional to 2,666.02, 3,678.13 and 1,546.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,666.02 : 3,678.13 = 1,546.34 : x
2. Step 2: Convert to fraction form
   2,666.02/3,678.13 = 1,546.34/x
3. Step 3: Cross multiply
   2,666.02x = 3,678.13 × 1,546.34
4. Step 4: Simplify right side
   2,666.02x = 5,687,621.15
5. Step 5: Solve for x
   x = 5,687,621.15/2,666.02
6. Step 6: Final answer
   x = 2,133.38