Finding the Fourth Proportional to 5,645.89, 8,446.96 and 3,788.16

Step by Step Solution

1. Step 1: Write the proportion equation
   5,645.89 : 8,446.96 = 3,788.16 : x
2. Step 2: Convert to fraction form
   5,645.89/8,446.96 = 3,788.16/x
3. Step 3: Cross multiply
   5,645.89x = 8,446.96 × 3,788.16
4. Step 4: Simplify right side
   5,645.89x = 31,998,435.99
5. Step 5: Solve for x
   x = 31,998,435.99/5,645.89
6. Step 6: Final answer
   x = 5,667.56