Finding the Fourth Proportional to 9,675.20, 14,513.92 and 3,832.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,675.20 : 14,513.92 = 3,832.32 : x
2. Step 2: Convert to fraction form
   9,675.20/14,513.92 = 3,832.32/x
3. Step 3: Cross multiply
   9,675.20x = 14,513.92 × 3,832.32
4. Step 4: Simplify right side
   9,675.20x = 55,621,985.89
5. Step 5: Solve for x
   x = 55,621,985.89/9,675.20
6. Step 6: Final answer
   x = 5,748.92