Finding the Fourth Proportional to 2,656.11, 3,665.55 and 1,537.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,656.11 : 3,665.55 = 1,537.10 : x
2. Step 2: Convert to fraction form
   2,656.11/3,665.55 = 1,537.10/x
3. Step 3: Cross multiply
   2,656.11x = 3,665.55 × 1,537.10
4. Step 4: Simplify right side
   2,656.11x = 5,634,316.91
5. Step 5: Solve for x
   x = 5,634,316.91/2,656.11
6. Step 6: Final answer
   x = 2,121.27