Finding the Fourth Proportional to 9,728.70, 14,598.96 and 3,884.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,728.70 : 14,598.96 = 3,884.82 : x
2. Step 2: Convert to fraction form
   9,728.70/14,598.96 = 3,884.82/x
3. Step 3: Cross multiply
   9,728.70x = 14,598.96 × 3,884.82
4. Step 4: Simplify right side
   9,728.70x = 56,714,331.79
5. Step 5: Solve for x
   x = 56,714,331.79/9,728.70
6. Step 6: Final answer
   x = 5,829.59