Finding the Fourth Proportional to 5,693.25, 7,856.69 and 3,209.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,693.25 : 7,856.69 = 3,209.25 : x
2. Step 2: Convert to fraction form
   5,693.25/7,856.69 = 3,209.25/x
3. Step 3: Cross multiply
   5,693.25x = 7,856.69 × 3,209.25
4. Step 4: Simplify right side
   5,693.25x = 25,214,066.34
5. Step 5: Solve for x
   x = 25,214,066.34/5,693.25
6. Step 6: Final answer
   x = 4,428.77