Finding the Fourth Proportional to 3,882.54, 5,824.71 and 1,109.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,882.54 : 5,824.71 = 1,109.25 : x
2. Step 2: Convert to fraction form
   3,882.54/5,824.71 = 1,109.25/x
3. Step 3: Cross multiply
   3,882.54x = 5,824.71 × 1,109.25
4. Step 4: Simplify right side
   3,882.54x = 6,461,059.57
5. Step 5: Solve for x
   x = 6,461,059.57/3,882.54
6. Step 6: Final answer
   x = 1,664.13