Finding the Fourth Proportional to 2,666.17, 3,678.91 and 1,546.21

Step by Step Solution

1. Step 1: Write the proportion equation
   2,666.17 : 3,678.91 = 1,546.21 : x
2. Step 2: Convert to fraction form
   2,666.17/3,678.91 = 1,546.21/x
3. Step 3: Cross multiply
   2,666.17x = 3,678.91 × 1,546.21
4. Step 4: Simplify right side
   2,666.17x = 5,688,367.43
5. Step 5: Solve for x
   x = 5,688,367.43/2,666.17
6. Step 6: Final answer
   x = 2,133.54