Finding the Fourth Proportional to 9,705.60, 13,393.15 and 5,727.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,705.60 : 13,393.15 = 5,727.96 : x
2. Step 2: Convert to fraction form
   9,705.60/13,393.15 = 5,727.96/x
3. Step 3: Cross multiply
   9,705.60x = 13,393.15 × 5,727.96
4. Step 4: Simplify right side
   9,705.60x = 76,715,413.15
5. Step 5: Solve for x
   x = 76,715,413.15/9,705.60
6. Step 6: Final answer
   x = 7,904.24