Finding the Fourth Proportional to 2,642.80, 3,647.78 and 1,524.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.80 : 3,647.78 = 1,524.10 : x
2. Step 2: Convert to fraction form
   2,642.80/3,647.78 = 1,524.10/x
3. Step 3: Cross multiply
   2,642.80x = 3,647.78 × 1,524.10
4. Step 4: Simplify right side
   2,642.80x = 5,559,581.50
5. Step 5: Solve for x
   x = 5,559,581.50/2,642.80
6. Step 6: Final answer
   x = 2,103.67