Finding the Fourth Proportional to 10,122.14, 13,967.16 and 5,645.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,122.14 : 13,967.16 = 5,645.27 : x
2. Step 2: Convert to fraction form
   10,122.14/13,967.16 = 5,645.27/x
3. Step 3: Cross multiply
   10,122.14x = 13,967.16 × 5,645.27
4. Step 4: Simplify right side
   10,122.14x = 78,848,389.33
5. Step 5: Solve for x
   x = 78,848,389.33/10,122.14
6. Step 6: Final answer
   x = 7,789.70