Finding the Fourth Proportional to 2,602.14, 3,878.10 and 2,598.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,602.14 : 3,878.10 = 2,598.03 : x
2. Step 2: Convert to fraction form
   2,602.14/3,878.10 = 2,598.03/x
3. Step 3: Cross multiply
   2,602.14x = 3,878.10 × 2,598.03
4. Step 4: Simplify right side
   2,602.14x = 10,075,420.14
5. Step 5: Solve for x
   x = 10,075,420.14/2,602.14
6. Step 6: Final answer
   x = 3,871.97