Finding the Fourth Proportional to 2,596.47, 3,582.67 and 1,461.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596.47 : 3,582.67 = 1,461.98 : x
2. Step 2: Convert to fraction form
   2,596.47/3,582.67 = 1,461.98/x
3. Step 3: Cross multiply
   2,596.47x = 3,582.67 × 1,461.98
4. Step 4: Simplify right side
   2,596.47x = 5,237,791.89
5. Step 5: Solve for x
   x = 5,237,791.89/2,596.47
6. Step 6: Final answer
   x = 2,017.27