Finding the Fourth Proportional to 2,561.41, 3,534.65 and 1,427.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.41 : 3,534.65 = 1,427.06 : x
2. Step 2: Convert to fraction form
   2,561.41/3,534.65 = 1,427.06/x
3. Step 3: Cross multiply
   2,561.41x = 3,534.65 × 1,427.06
4. Step 4: Simplify right side
   2,561.41x = 5,044,151.58
5. Step 5: Solve for x
   x = 5,044,151.58/2,561.41
6. Step 6: Final answer
   x = 1,969.28