Finding the Fourth Proportional to 2,629.09, 3,628.27 and 1,566.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,629.09 : 3,628.27 = 1,566.62 : x
2. Step 2: Convert to fraction form
   2,629.09/3,628.27 = 1,566.62/x
3. Step 3: Cross multiply
   2,629.09x = 3,628.27 × 1,566.62
4. Step 4: Simplify right side
   2,629.09x = 5,684,103.16
5. Step 5: Solve for x
   x = 5,684,103.16/2,629.09
6. Step 6: Final answer
   x = 2,162.00