Finding the Fourth Proportional to 13,853.83, 20,789.87 and 5,088.82

Step by Step Solution

1. Step 1: Write the proportion equation
   13,853.83 : 20,789.87 = 5,088.82 : x
2. Step 2: Convert to fraction form
   13,853.83/20,789.87 = 5,088.82/x
3. Step 3: Cross multiply
   13,853.83x = 20,789.87 × 5,088.82
4. Step 4: Simplify right side
   13,853.83x = 105,795,906.25
5. Step 5: Solve for x
   x = 105,795,906.25/13,853.83
6. Step 6: Final answer
   x = 7,636.58