Finding the Fourth Proportional to 13,085.16, 19,625.58 and 3,849

Step by Step Solution

1. Step 1: Write the proportion equation
   13,085.16 : 19,625.58 = 3,849 : x
2. Step 2: Convert to fraction form
   13,085.16/19,625.58 = 3,849/x
3. Step 3: Cross multiply
   13,085.16x = 19,625.58 × 3,849
4. Step 4: Simplify right side
   13,085.16x = 75,538,857.42
5. Step 5: Solve for x
   x = 75,538,857.42/13,085.16
6. Step 6: Final answer
   x = 5,772.86