Finding the Fourth Proportional to 2,656.98, 3,665.73 and 1,537.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,656.98 : 3,665.73 = 1,537.62 : x
2. Step 2: Convert to fraction form
   2,656.98/3,665.73 = 1,537.62/x
3. Step 3: Cross multiply
   2,656.98x = 3,665.73 × 1,537.62
4. Step 4: Simplify right side
   2,656.98x = 5,636,499.76
5. Step 5: Solve for x
   x = 5,636,499.76/2,656.98
6. Step 6: Final answer
   x = 2,121.39