Finding the Fourth Proportional to 9,617.73, 13,269.48 and 5,638.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,617.73 : 13,269.48 = 5,638.82 : x
2. Step 2: Convert to fraction form
   9,617.73/13,269.48 = 5,638.82/x
3. Step 3: Cross multiply
   9,617.73x = 13,269.48 × 5,638.82
4. Step 4: Simplify right side
   9,617.73x = 74,824,142.87
5. Step 5: Solve for x
   x = 74,824,142.87/9,617.73
6. Step 6: Final answer
   x = 7,779.81