Finding the Fourth Proportional to 2,561.83, 3,534.70 and 1,566.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.83 : 3,534.70 = 1,566.75 : x
2. Step 2: Convert to fraction form
   2,561.83/3,534.70 = 1,566.75/x
3. Step 3: Cross multiply
   2,561.83x = 3,534.70 × 1,566.75
4. Step 4: Simplify right side
   2,561.83x = 5,537,991.23
5. Step 5: Solve for x
   x = 5,537,991.23/2,561.83
6. Step 6: Final answer
   x = 2,161.73