Finding the Fourth Proportional to 2,560.46, 3,533.69 and 1,566.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2,560.46 : 3,533.69 = 1,566.39 : x
2. Step 2: Convert to fraction form
   2,560.46/3,533.69 = 1,566.39/x
3. Step 3: Cross multiply
   2,560.46x = 3,533.69 × 1,566.39
4. Step 4: Simplify right side
   2,560.46x = 5,535,153.85
5. Step 5: Solve for x
   x = 5,535,153.85/2,560.46
6. Step 6: Final answer
   x = 2,161.79