Finding the Fourth Proportional to 3,688.56, 5,088.81 and 2,362.05

Step by Step Solution

1. Step 1: Write the proportion equation
   3,688.56 : 5,088.81 = 2,362.05 : x
2. Step 2: Convert to fraction form
   3,688.56/5,088.81 = 2,362.05/x
3. Step 3: Cross multiply
   3,688.56x = 5,088.81 × 2,362.05
4. Step 4: Simplify right side
   3,688.56x = 12,020,023.66
5. Step 5: Solve for x
   x = 12,020,023.66/3,688.56
6. Step 6: Final answer
   x = 3,258.73