Finding the Fourth Proportional to 9,786.42, 13,505.49 and 5,536.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,786.42 : 13,505.49 = 5,536.62 : x
2. Step 2: Convert to fraction form
   9,786.42/13,505.49 = 5,536.62/x
3. Step 3: Cross multiply
   9,786.42x = 13,505.49 × 5,536.62
4. Step 4: Simplify right side
   9,786.42x = 74,774,766.04
5. Step 5: Solve for x
   x = 74,774,766.04/9,786.42
6. Step 6: Final answer
   x = 7,640.67