Finding the Fourth Proportional to 2,580, 3,560.54 and 1,586.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,580 : 3,560.54 = 1,586.34 : x
2. Step 2: Convert to fraction form
   2,580/3,560.54 = 1,586.34/x
3. Step 3: Cross multiply
   2,580x = 3,560.54 × 1,586.34
4. Step 4: Simplify right side
   2,580x = 5,648,227.02
5. Step 5: Solve for x
   x = 5,648,227.02/2,580
6. Step 6: Final answer
   x = 2,189.24