Finding the Fourth Proportional to 3,772.50, 5,664.54 and 3,606.12

Step by Step Solution

1. Step 1: Write the proportion equation
   3,772.50 : 5,664.54 = 3,606.12 : x
2. Step 2: Convert to fraction form
   3,772.50/5,664.54 = 3,606.12/x
3. Step 3: Cross multiply
   3,772.50x = 5,664.54 × 3,606.12
4. Step 4: Simplify right side
   3,772.50x = 20,427,010.98
5. Step 5: Solve for x
   x = 20,427,010.98/3,772.50
6. Step 6: Final answer
   x = 5,414.71