Finding the Fourth Proportional to 2,588.62, 3,886.56 and 2,471.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588.62 : 3,886.56 = 2,471.98 : x
2. Step 2: Convert to fraction form
   2,588.62/3,886.56 = 2,471.98/x
3. Step 3: Cross multiply
   2,588.62x = 3,886.56 × 2,471.98
4. Step 4: Simplify right side
   2,588.62x = 9,607,498.59
5. Step 5: Solve for x
   x = 9,607,498.59/2,588.62
6. Step 6: Final answer
   x = 3,711.44