Finding the Fourth Proportional to 9,648.16, 13,314.71 and 5,669.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,648.16 : 13,314.71 = 5,669.48 : x
2. Step 2: Convert to fraction form
   9,648.16/13,314.71 = 5,669.48/x
3. Step 3: Cross multiply
   9,648.16x = 13,314.71 × 5,669.48
4. Step 4: Simplify right side
   9,648.16x = 75,487,486.99
5. Step 5: Solve for x
   x = 75,487,486.99/9,648.16
6. Step 6: Final answer
   x = 7,824.03