Finding the Fourth Proportional to 9,288.58, 12,820.74 and 5,749.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,288.58 : 12,820.74 = 5,749.78 : x
2. Step 2: Convert to fraction form
   9,288.58/12,820.74 = 5,749.78/x
3. Step 3: Cross multiply
   9,288.58x = 12,820.74 × 5,749.78
4. Step 4: Simplify right side
   9,288.58x = 73,716,434.44
5. Step 5: Solve for x
   x = 73,716,434.44/9,288.58
6. Step 6: Final answer
   x = 7,936.24