Finding the Fourth Proportional to 2,662.83, 3,674.53 and 1,600.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,662.83 : 3,674.53 = 1,600.77 : x
2. Step 2: Convert to fraction form
   2,662.83/3,674.53 = 1,600.77/x
3. Step 3: Cross multiply
   2,662.83x = 3,674.53 × 1,600.77
4. Step 4: Simplify right side
   2,662.83x = 5,882,051.01
5. Step 5: Solve for x
   x = 5,882,051.01/2,662.83
6. Step 6: Final answer
   x = 2,208.95