Finding the Fourth Proportional to 9,656.82, 13,325.31 and 5,407.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,656.82 : 13,325.31 = 5,407.56 : x
2. Step 2: Convert to fraction form
   9,656.82/13,325.31 = 5,407.56/x
3. Step 3: Cross multiply
   9,656.82x = 13,325.31 × 5,407.56
4. Step 4: Simplify right side
   9,656.82x = 72,057,413.34
5. Step 5: Solve for x
   x = 72,057,413.34/9,656.82
6. Step 6: Final answer
   x = 7,461.82