Finding the Fourth Proportional to 2,656.71, 3,665.61 and 1,537.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,656.71 : 3,665.61 = 1,537.43 : x
2. Step 2: Convert to fraction form
   2,656.71/3,665.61 = 1,537.43/x
3. Step 3: Cross multiply
   2,656.71x = 3,665.61 × 1,537.43
4. Step 4: Simplify right side
   2,656.71x = 5,635,600.45
5. Step 5: Solve for x
   x = 5,635,600.45/2,656.71
6. Step 6: Final answer
   x = 2,121.27