Finding the Fourth Proportional to 2,596.50, 3,582.77 and 1,477.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596.50 : 3,582.77 = 1,477.49 : x
2. Step 2: Convert to fraction form
   2,596.50/3,582.77 = 1,477.49/x
3. Step 3: Cross multiply
   2,596.50x = 3,582.77 × 1,477.49
4. Step 4: Simplify right side
   2,596.50x = 5,293,481.55
5. Step 5: Solve for x
   x = 5,293,481.55/2,596.50
6. Step 6: Final answer
   x = 2,038.70