Finding the Fourth Proportional to 3,788.68, 5,229.86 and 3,665.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,788.68 : 5,229.86 = 3,665.64 : x
2. Step 2: Convert to fraction form
   3,788.68/5,229.86 = 3,665.64/x
3. Step 3: Cross multiply
   3,788.68x = 5,229.86 × 3,665.64
4. Step 4: Simplify right side
   3,788.68x = 19,170,784.01
5. Step 5: Solve for x
   x = 19,170,784.01/3,788.68
6. Step 6: Final answer
   x = 5,060.02