Finding the Fourth Proportional to 9,786.65, 13,505.81 and 5,537.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,786.65 : 13,505.81 = 5,537.52 : x
2. Step 2: Convert to fraction form
   9,786.65/13,505.81 = 5,537.52/x
3. Step 3: Cross multiply
   9,786.65x = 13,505.81 × 5,537.52
4. Step 4: Simplify right side
   9,786.65x = 74,788,665.30
5. Step 5: Solve for x
   x = 74,788,665.30/9,786.65
6. Step 6: Final answer
   x = 7,641.91