Finding the Fourth Proportional to 3,694.16, 5,059.12 and 3,645.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,694.16 : 5,059.12 = 3,645.56 : x
2. Step 2: Convert to fraction form
   3,694.16/5,059.12 = 3,645.56/x
3. Step 3: Cross multiply
   3,694.16x = 5,059.12 × 3,645.56
4. Step 4: Simplify right side
   3,694.16x = 18,443,325.51
5. Step 5: Solve for x
   x = 18,443,325.51/3,694.16
6. Step 6: Final answer
   x = 4,992.56