Finding the Fourth Proportional to 2,570.35, 3,852.51 and 2,261.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,570.35 : 3,852.51 = 2,261.56 : x
2. Step 2: Convert to fraction form
   2,570.35/3,852.51 = 2,261.56/x
3. Step 3: Cross multiply
   2,570.35x = 3,852.51 × 2,261.56
4. Step 4: Simplify right side
   2,570.35x = 8,712,682.52
5. Step 5: Solve for x
   x = 8,712,682.52/2,570.35
6. Step 6: Final answer
   x = 3,389.69