Finding the Fourth Proportional to 2,561.33, 3,534 and 1,566.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.33 : 3,534 = 1,566.25 : x
2. Step 2: Convert to fraction form
   2,561.33/3,534 = 1,566.25/x
3. Step 3: Cross multiply
   2,561.33x = 3,534 × 1,566.25
4. Step 4: Simplify right side
   2,561.33x = 5,535,127.50
5. Step 5: Solve for x
   x = 5,535,127.50/2,561.33
6. Step 6: Final answer
   x = 2,161.04