Finding the Fourth Proportional to 9,983.34, 14,974.92 and 3,827.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,983.34 : 14,974.92 = 3,827.34 : x
2. Step 2: Convert to fraction form
   9,983.34/14,974.92 = 3,827.34/x
3. Step 3: Cross multiply
   9,983.34x = 14,974.92 × 3,827.34
4. Step 4: Simplify right side
   9,983.34x = 57,314,110.31
5. Step 5: Solve for x
   x = 57,314,110.31/9,983.34
6. Step 6: Final answer
   x = 5,740.98