Finding the Fourth Proportional to 2,596.56, 3,581.52 and 1,587.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596.56 : 3,581.52 = 1,587.80 : x
2. Step 2: Convert to fraction form
   2,596.56/3,581.52 = 1,587.80/x
3. Step 3: Cross multiply
   2,596.56x = 3,581.52 × 1,587.80
4. Step 4: Simplify right side
   2,596.56x = 5,686,740.46
5. Step 5: Solve for x
   x = 5,686,740.46/2,596.56
6. Step 6: Final answer
   x = 2,190.11