Finding the Fourth Proportional to 9,535.82, 14,297.31 and 3,685.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,535.82 : 14,297.31 = 3,685.59 : x
2. Step 2: Convert to fraction form
   9,535.82/14,297.31 = 3,685.59/x
3. Step 3: Cross multiply
   9,535.82x = 14,297.31 × 3,685.59
4. Step 4: Simplify right side
   9,535.82x = 52,694,022.76
5. Step 5: Solve for x
   x = 52,694,022.76/9,535.82
6. Step 6: Final answer
   x = 5,525.91