Finding the Fourth Proportional to 2,656.53, 3,665.61 and 1,537.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,656.53 : 3,665.61 = 1,537.25 : x
2. Step 2: Convert to fraction form
   2,656.53/3,665.61 = 1,537.25/x
3. Step 3: Cross multiply
   2,656.53x = 3,665.61 × 1,537.25
4. Step 4: Simplify right side
   2,656.53x = 5,634,940.64
5. Step 5: Solve for x
   x = 5,634,940.64/2,656.53
6. Step 6: Final answer
   x = 2,121.17