Finding the Fourth Proportional to 2,569.76, 3,546.34 and 1,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.76 : 3,546.34 = 1,561.50 : x
2. Step 2: Convert to fraction form
   2,569.76/3,546.34 = 1,561.50/x
3. Step 3: Cross multiply
   2,569.76x = 3,546.34 × 1,561.50
4. Step 4: Simplify right side
   2,569.76x = 5,537,609.91
5. Step 5: Solve for x
   x = 5,537,609.91/2,569.76
6. Step 6: Final answer
   x = 2,154.91