Finding the Fourth Proportional to 2,561.72, 3,534.36 and 1,566.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.72 : 3,534.36 = 1,566.76 : x
2. Step 2: Convert to fraction form
   2,561.72/3,534.36 = 1,566.76/x
3. Step 3: Cross multiply
   2,561.72x = 3,534.36 × 1,566.76
4. Step 4: Simplify right side
   2,561.72x = 5,537,493.87
5. Step 5: Solve for x
   x = 5,537,493.87/2,561.72
6. Step 6: Final answer
   x = 2,161.63