Finding the Fourth Proportional to 10,121.13, 13,967.37 and 5,645.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,121.13 : 13,967.37 = 5,645.07 : x
2. Step 2: Convert to fraction form
   10,121.13/13,967.37 = 5,645.07/x
3. Step 3: Cross multiply
   10,121.13x = 13,967.37 × 5,645.07
4. Step 4: Simplify right side
   10,121.13x = 78,846,781.37
5. Step 5: Solve for x
   x = 78,846,781.37/10,121.13
6. Step 6: Final answer
   x = 7,790.31