Finding the Fourth Proportional to 3,896.51, 5,805.57 and 3,645

Step by Step Solution

1. Step 1: Write the proportion equation
   3,896.51 : 5,805.57 = 3,645 : x
2. Step 2: Convert to fraction form
   3,896.51/5,805.57 = 3,645/x
3. Step 3: Cross multiply
   3,896.51x = 5,805.57 × 3,645
4. Step 4: Simplify right side
   3,896.51x = 21,161,316.32
5. Step 5: Solve for x
   x = 21,161,316.32/3,896.51
6. Step 6: Final answer
   x = 5,430.85