Finding the Fourth Proportional to 9,829.89, 14,740.92 and 3,588.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,829.89 : 14,740.92 = 3,588.48 : x
2. Step 2: Convert to fraction form
   9,829.89/14,740.92 = 3,588.48/x
3. Step 3: Cross multiply
   9,829.89x = 14,740.92 × 3,588.48
4. Step 4: Simplify right side
   9,829.89x = 52,897,496.60
5. Step 5: Solve for x
   x = 52,897,496.60/9,829.89
6. Step 6: Final answer
   x = 5,381.29