Finding the Fourth Proportional to 13,932.06, 20,888.34 and 5,165.82

Step by Step Solution

1. Step 1: Write the proportion equation
   13,932.06 : 20,888.34 = 5,165.82 : x
2. Step 2: Convert to fraction form
   13,932.06/20,888.34 = 5,165.82/x
3. Step 3: Cross multiply
   13,932.06x = 20,888.34 × 5,165.82
4. Step 4: Simplify right side
   13,932.06x = 107,905,404.54
5. Step 5: Solve for x
   x = 107,905,404.54/13,932.06
6. Step 6: Final answer
   x = 7,745.11