Finding the Fourth Proportional to 3,697.38, 5,505.02 and 3,645.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,697.38 : 5,505.02 = 3,645.72 : x
2. Step 2: Convert to fraction form
   3,697.38/5,505.02 = 3,645.72/x
3. Step 3: Cross multiply
   3,697.38x = 5,505.02 × 3,645.72
4. Step 4: Simplify right side
   3,697.38x = 20,069,761.51
5. Step 5: Solve for x
   x = 20,069,761.51/3,697.38
6. Step 6: Final answer
   x = 5,428.10