Finding the Fourth Proportional to 2,656.68, 3,665.96 and 1,537.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2,656.68 : 3,665.96 = 1,537.39 : x
2. Step 2: Convert to fraction form
   2,656.68/3,665.96 = 1,537.39/x
3. Step 3: Cross multiply
   2,656.68x = 3,665.96 × 1,537.39
4. Step 4: Simplify right side
   2,656.68x = 5,636,002.56
5. Step 5: Solve for x
   x = 5,636,002.56/2,656.68
6. Step 6: Final answer
   x = 2,121.45