Finding the Fourth Proportional to 2,578.35, 3,863.40 and 2,510.01

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.35 : 3,863.40 = 2,510.01 : x
2. Step 2: Convert to fraction form
   2,578.35/3,863.40 = 2,510.01/x
3. Step 3: Cross multiply
   2,578.35x = 3,863.40 × 2,510.01
4. Step 4: Simplify right side
   2,578.35x = 9,697,172.63
5. Step 5: Solve for x
   x = 9,697,172.63/2,578.35
6. Step 6: Final answer
   x = 3,761.00