Finding the Fourth Proportional to 9,685.12, 14,525.52 and 3,840.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,685.12 : 14,525.52 = 3,840.16 : x
2. Step 2: Convert to fraction form
   9,685.12/14,525.52 = 3,840.16/x
3. Step 3: Cross multiply
   9,685.12x = 14,525.52 × 3,840.16
4. Step 4: Simplify right side
   9,685.12x = 55,780,320.88
5. Step 5: Solve for x
   x = 55,780,320.88/9,685.12
6. Step 6: Final answer
   x = 5,759.38