Finding the Fourth Proportional to 9,697.12, 14,546.62 and 3,852.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,697.12 : 14,546.62 = 3,852.42 : x
2. Step 2: Convert to fraction form
   9,697.12/14,546.62 = 3,852.42/x
3. Step 3: Cross multiply
   9,697.12x = 14,546.62 × 3,852.42
4. Step 4: Simplify right side
   9,697.12x = 56,039,689.82
5. Step 5: Solve for x
   x = 56,039,689.82/9,697.12
6. Step 6: Final answer
   x = 5,779.00