Finding the Fourth Proportional to 2,602.67, 3,882.05 and 2,524.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,602.67 : 3,882.05 = 2,524.86 : x
2. Step 2: Convert to fraction form
   2,602.67/3,882.05 = 2,524.86/x
3. Step 3: Cross multiply
   2,602.67x = 3,882.05 × 2,524.86
4. Step 4: Simplify right side
   2,602.67x = 9,801,620.14
5. Step 5: Solve for x
   x = 9,801,620.14/2,602.67
6. Step 6: Final answer
   x = 3,765.99