Finding the Fourth Proportional to 9,786.56, 13,502.12 and 5,537.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,786.56 : 13,502.12 = 5,537.12 : x
2. Step 2: Convert to fraction form
   9,786.56/13,502.12 = 5,537.12/x
3. Step 3: Cross multiply
   9,786.56x = 13,502.12 × 5,537.12
4. Step 4: Simplify right side
   9,786.56x = 74,762,858.69
5. Step 5: Solve for x
   x = 74,762,858.69/9,786.56
6. Step 6: Final answer
   x = 7,639.34