Finding the Fourth Proportional to 3,642.58, 5,017.98 and 2,896.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,642.58 : 5,017.98 = 2,896.30 : x
2. Step 2: Convert to fraction form
   3,642.58/5,017.98 = 2,896.30/x
3. Step 3: Cross multiply
   3,642.58x = 5,017.98 × 2,896.30
4. Step 4: Simplify right side
   3,642.58x = 14,533,575.47
5. Step 5: Solve for x
   x = 14,533,575.47/3,642.58
6. Step 6: Final answer
   x = 3,989.91