Finding the Fourth Proportional to 2,561.42, 3,847.35 and 2,260.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.42 : 3,847.35 = 2,260.10 : x
2. Step 2: Convert to fraction form
   2,561.42/3,847.35 = 2,260.10/x
3. Step 3: Cross multiply
   2,561.42x = 3,847.35 × 2,260.10
4. Step 4: Simplify right side
   2,561.42x = 8,695,395.74
5. Step 5: Solve for x
   x = 8,695,395.74/2,561.42
6. Step 6: Final answer
   x = 3,394.76