Finding the Fourth Proportional to 2,566.40, 3,541.56 and 1,571.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.40 : 3,541.56 = 1,571.76 : x
2. Step 2: Convert to fraction form
   2,566.40/3,541.56 = 1,571.76/x
3. Step 3: Cross multiply
   2,566.40x = 3,541.56 × 1,571.76
4. Step 4: Simplify right side
   2,566.40x = 5,566,482.35
5. Step 5: Solve for x
   x = 5,566,482.35/2,566.40
6. Step 6: Final answer
   x = 2,168.98