Finding the Fourth Proportional to 3,790.52, 5,694.42 and 3,635

Step by Step Solution

1. Step 1: Write the proportion equation
   3,790.52 : 5,694.42 = 3,635 : x
2. Step 2: Convert to fraction form
   3,790.52/5,694.42 = 3,635/x
3. Step 3: Cross multiply
   3,790.52x = 5,694.42 × 3,635
4. Step 4: Simplify right side
   3,790.52x = 20,699,216.70
5. Step 5: Solve for x
   x = 20,699,216.70/3,790.52
6. Step 6: Final answer
   x = 5,460.79