Finding the Fourth Proportional to 9,827.74, 14,741.52 and 3,982.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,827.74 : 14,741.52 = 3,982.96 : x
2. Step 2: Convert to fraction form
   9,827.74/14,741.52 = 3,982.96/x
3. Step 3: Cross multiply
   9,827.74x = 14,741.52 × 3,982.96
4. Step 4: Simplify right side
   9,827.74x = 58,714,884.50
5. Step 5: Solve for x
   x = 58,714,884.50/9,827.74
6. Step 6: Final answer
   x = 5,974.40