Finding the Fourth Proportional to 2,560.68, 3,839.10 and 1,406.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,560.68 : 3,839.10 = 1,406.76 : x
2. Step 2: Convert to fraction form
   2,560.68/3,839.10 = 1,406.76/x
3. Step 3: Cross multiply
   2,560.68x = 3,839.10 × 1,406.76
4. Step 4: Simplify right side
   2,560.68x = 5,400,692.32
5. Step 5: Solve for x
   x = 5,400,692.32/2,560.68
6. Step 6: Final answer
   x = 2,109.09