Finding the Fourth Proportional to 9,648.19, 13,314.63 and 5,669.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,648.19 : 13,314.63 = 5,669.47 : x
2. Step 2: Convert to fraction form
   9,648.19/13,314.63 = 5,669.47/x
3. Step 3: Cross multiply
   9,648.19x = 13,314.63 × 5,669.47
4. Step 4: Simplify right side
   9,648.19x = 75,486,895.35
5. Step 5: Solve for x
   x = 75,486,895.35/9,648.19
6. Step 6: Final answer
   x = 7,823.94