Finding the Fourth Proportional to 3,642.04, 5,020.72 and 2,896.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,642.04 : 5,020.72 = 2,896.30 : x
2. Step 2: Convert to fraction form
   3,642.04/5,020.72 = 2,896.30/x
3. Step 3: Cross multiply
   3,642.04x = 5,020.72 × 2,896.30
4. Step 4: Simplify right side
   3,642.04x = 14,541,511.34
5. Step 5: Solve for x
   x = 14,541,511.34/3,642.04
6. Step 6: Final answer
   x = 3,992.68