Finding the Fourth Proportional to 2,637.55, 3,952.68 and 2,558.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,637.55 : 3,952.68 = 2,558.71 : x
2. Step 2: Convert to fraction form
   2,637.55/3,952.68 = 2,558.71/x
3. Step 3: Cross multiply
   2,637.55x = 3,952.68 × 2,558.71
4. Step 4: Simplify right side
   2,637.55x = 10,113,761.84
5. Step 5: Solve for x
   x = 10,113,761.84/2,637.55
6. Step 6: Final answer
   x = 3,834.53