Finding the Fourth Proportional to 2,561.18, 3,533.79 and 1,566.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.18 : 3,533.79 = 1,566.10 : x
2. Step 2: Convert to fraction form
   2,561.18/3,533.79 = 1,566.10/x
3. Step 3: Cross multiply
   2,561.18x = 3,533.79 × 1,566.10
4. Step 4: Simplify right side
   2,561.18x = 5,534,243.02
5. Step 5: Solve for x
   x = 5,534,243.02/2,561.18
6. Step 6: Final answer
   x = 2,160.82