Finding the Fourth Proportional to 9,085.68, 13,633.79 and 3,820.29

Step by Step Solution

1. Step 1: Write the proportion equation
   9,085.68 : 13,633.79 = 3,820.29 : x
2. Step 2: Convert to fraction form
   9,085.68/13,633.79 = 3,820.29/x
3. Step 3: Cross multiply
   9,085.68x = 13,633.79 × 3,820.29
4. Step 4: Simplify right side
   9,085.68x = 52,085,012.50
5. Step 5: Solve for x
   x = 52,085,012.50/9,085.68
6. Step 6: Final answer
   x = 5,732.65