Finding the Fourth Proportional to 2,561.45, 3,534.84 and 1,566.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.45 : 3,534.84 = 1,566.52 : x
2. Step 2: Convert to fraction form
   2,561.45/3,534.84 = 1,566.52/x
3. Step 3: Cross multiply
   2,561.45x = 3,534.84 × 1,566.52
4. Step 4: Simplify right side
   2,561.45x = 5,537,397.56
5. Step 5: Solve for x
   x = 5,537,397.56/2,561.45
6. Step 6: Final answer
   x = 2,161.82