Finding the Fourth Proportional to 9,808.56, 13,535.78 and 5,777.73

Step by Step Solution

1. Step 1: Write the proportion equation
   9,808.56 : 13,535.78 = 5,777.73 : x
2. Step 2: Convert to fraction form
   9,808.56/13,535.78 = 5,777.73/x
3. Step 3: Cross multiply
   9,808.56x = 13,535.78 × 5,777.73
4. Step 4: Simplify right side
   9,808.56x = 78,206,053.29
5. Step 5: Solve for x
   x = 78,206,053.29/9,808.56
6. Step 6: Final answer
   x = 7,973.25