Finding the Fourth Proportional to 13,854.83, 20,791.37 and 5,089.82

Step by Step Solution

1. Step 1: Write the proportion equation
   13,854.83 : 20,791.37 = 5,089.82 : x
2. Step 2: Convert to fraction form
   13,854.83/20,791.37 = 5,089.82/x
3. Step 3: Cross multiply
   13,854.83x = 20,791.37 × 5,089.82
4. Step 4: Simplify right side
   13,854.83x = 105,824,330.85
5. Step 5: Solve for x
   x = 105,824,330.85/13,854.83
6. Step 6: Final answer
   x = 7,638.08