Finding the Fourth Proportional to 9,648.78, 13,309.74 and 5,669.07

Step by Step Solution

1. Step 1: Write the proportion equation
   9,648.78 : 13,309.74 = 5,669.07 : x
2. Step 2: Convert to fraction form
   9,648.78/13,309.74 = 5,669.07/x
3. Step 3: Cross multiply
   9,648.78x = 13,309.74 × 5,669.07
4. Step 4: Simplify right side
   9,648.78x = 75,453,847.74
5. Step 5: Solve for x
   x = 75,453,847.74/9,648.78
6. Step 6: Final answer
   x = 7,820.04