Finding the Fourth Proportional to 9,786.86, 13,506.53 and 5,537.91

Step by Step Solution

1. Step 1: Write the proportion equation
   9,786.86 : 13,506.53 = 5,537.91 : x
2. Step 2: Convert to fraction form
   9,786.86/13,506.53 = 5,537.91/x
3. Step 3: Cross multiply
   9,786.86x = 13,506.53 × 5,537.91
4. Step 4: Simplify right side
   9,786.86x = 74,797,970.51
5. Step 5: Solve for x
   x = 74,797,970.51/9,786.86
6. Step 6: Final answer
   x = 7,642.69