Finding the Fourth Proportional to 13,838.83, 20,758.37 and 3,978.11

Step by Step Solution

1. Step 1: Write the proportion equation
   13,838.83 : 20,758.37 = 3,978.11 : x
2. Step 2: Convert to fraction form
   13,838.83/20,758.37 = 3,978.11/x
3. Step 3: Cross multiply
   13,838.83x = 20,758.37 × 3,978.11
4. Step 4: Simplify right side
   13,838.83x = 82,579,111.29
5. Step 5: Solve for x
   x = 82,579,111.29/13,838.83
6. Step 6: Final answer
   x = 5,967.20