Finding the Fourth Proportional to 9,696.10, 14,544.19 and 3,852.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,696.10 : 14,544.19 = 3,852.69 : x
2. Step 2: Convert to fraction form
   9,696.10/14,544.19 = 3,852.69/x
3. Step 3: Cross multiply
   9,696.10x = 14,544.19 × 3,852.69
4. Step 4: Simplify right side
   9,696.10x = 56,034,255.37
5. Step 5: Solve for x
   x = 56,034,255.37/9,696.10
6. Step 6: Final answer
   x = 5,779.05