Finding the Fourth Proportional to 3,820.58, 5,265.69 and 3,288.14

Step by Step Solution

1. Step 1: Write the proportion equation
   3,820.58 : 5,265.69 = 3,288.14 : x
2. Step 2: Convert to fraction form
   3,820.58/5,265.69 = 3,288.14/x
3. Step 3: Cross multiply
   3,820.58x = 5,265.69 × 3,288.14
4. Step 4: Simplify right side
   3,820.58x = 17,314,299.59
5. Step 5: Solve for x
   x = 17,314,299.59/3,820.58
6. Step 6: Final answer
   x = 4,531.86