Finding the Fourth Proportional to 9,985.98, 14,980.89 and 3,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,985.98 : 14,980.89 = 3,829.50 : x
2. Step 2: Convert to fraction form
   9,985.98/14,980.89 = 3,829.50/x
3. Step 3: Cross multiply
   9,985.98x = 14,980.89 × 3,829.50
4. Step 4: Simplify right side
   9,985.98x = 57,369,318.26
5. Step 5: Solve for x
   x = 57,369,318.26/9,985.98
6. Step 6: Final answer
   x = 5,744.99