Finding the Fourth Proportional to 9,782.73, 13,499.13 and 5,749.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.73 : 13,499.13 = 5,749.56 : x
2. Step 2: Convert to fraction form
   9,782.73/13,499.13 = 5,749.56/x
3. Step 3: Cross multiply
   9,782.73x = 13,499.13 × 5,749.56
4. Step 4: Simplify right side
   9,782.73x = 77,614,057.88
5. Step 5: Solve for x
   x = 77,614,057.88/9,782.73
6. Step 6: Final answer
   x = 7,933.78