Finding the Fourth Proportional to 13,852.82, 20,766.83 and 5,085.69

Step by Step Solution

1. Step 1: Write the proportion equation
   13,852.82 : 20,766.83 = 5,085.69 : x
2. Step 2: Convert to fraction form
   13,852.82/20,766.83 = 5,085.69/x
3. Step 3: Cross multiply
   13,852.82x = 20,766.83 × 5,085.69
4. Step 4: Simplify right side
   13,852.82x = 105,613,634.23
5. Step 5: Solve for x
   x = 105,613,634.23/13,852.82
6. Step 6: Final answer
   x = 7,623.98