Finding the Fourth Proportional to 5,646.89, 8,448.46 and 3,789.16

Step by Step Solution

1. Step 1: Write the proportion equation
   5,646.89 : 8,448.46 = 3,789.16 : x
2. Step 2: Convert to fraction form
   5,646.89/8,448.46 = 3,789.16/x
3. Step 3: Cross multiply
   5,646.89x = 8,448.46 × 3,789.16
4. Step 4: Simplify right side
   5,646.89x = 32,012,566.69
5. Step 5: Solve for x
   x = 32,012,566.69/5,646.89
6. Step 6: Final answer
   x = 5,669.06