Finding the Fourth Proportional to 2,656.97, 3,666.79 and 1,538.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,656.97 : 3,666.79 = 1,538.27 : x
2. Step 2: Convert to fraction form
   2,656.97/3,666.79 = 1,538.27/x
3. Step 3: Cross multiply
   2,656.97x = 3,666.79 × 1,538.27
4. Step 4: Simplify right side
   2,656.97x = 5,640,491.43
5. Step 5: Solve for x
   x = 5,640,491.43/2,656.97
6. Step 6: Final answer
   x = 2,122.90