Finding the Fourth Proportional to 2,666, 3,678.50 and 1,617.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,666 : 3,678.50 = 1,617.86 : x
2. Step 2: Convert to fraction form
   2,666/3,678.50 = 1,617.86/x
3. Step 3: Cross multiply
   2,666x = 3,678.50 × 1,617.86
4. Step 4: Simplify right side
   2,666x = 5,951,298.01
5. Step 5: Solve for x
   x = 5,951,298.01/2,666
6. Step 6: Final answer
   x = 2,232.29