Finding the Fourth Proportional to 2,559.89, 3,532.56 and 1,566.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,559.89 : 3,532.56 = 1,566.20 : x
2. Step 2: Convert to fraction form
   2,559.89/3,532.56 = 1,566.20/x
3. Step 3: Cross multiply
   2,559.89x = 3,532.56 × 1,566.20
4. Step 4: Simplify right side
   2,559.89x = 5,532,695.47
5. Step 5: Solve for x
   x = 5,532,695.47/2,559.89
6. Step 6: Final answer
   x = 2,161.30