Finding the Fourth Proportional to 9,976.75, 13,768.62 and 5,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,976.75 : 13,768.62 = 5,728.50 : x
2. Step 2: Convert to fraction form
   9,976.75/13,768.62 = 5,728.50/x
3. Step 3: Cross multiply
   9,976.75x = 13,768.62 × 5,728.50
4. Step 4: Simplify right side
   9,976.75x = 78,873,518.19
5. Step 5: Solve for x
   x = 78,873,518.19/9,976.75
6. Step 6: Final answer
   x = 7,905.73