Finding the Fourth Proportional to 2,596.53, 3,583.17 and 1,417.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596.53 : 3,583.17 = 1,417.61 : x
2. Step 2: Convert to fraction form
   2,596.53/3,583.17 = 1,417.61/x
3. Step 3: Cross multiply
   2,596.53x = 3,583.17 × 1,417.61
4. Step 4: Simplify right side
   2,596.53x = 5,079,537.62
5. Step 5: Solve for x
   x = 5,079,537.62/2,596.53
6. Step 6: Final answer
   x = 1,956.28