Finding the Fourth Proportional to 7,983.91, 11,970.71 and 3,823.82

Step by Step Solution

1. Step 1: Write the proportion equation
   7,983.91 : 11,970.71 = 3,823.82 : x
2. Step 2: Convert to fraction form
   7,983.91/11,970.71 = 3,823.82/x
3. Step 3: Cross multiply
   7,983.91x = 11,970.71 × 3,823.82
4. Step 4: Simplify right side
   7,983.91x = 45,773,840.31
5. Step 5: Solve for x
   x = 45,773,840.31/7,983.91
6. Step 6: Final answer
   x = 5,733.26