Finding the Fourth Proportional to 10,121.77, 13,967.98 and 5,645.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,121.77 : 13,967.98 = 5,645.58 : x
2. Step 2: Convert to fraction form
   10,121.77/13,967.98 = 5,645.58/x
3. Step 3: Cross multiply
   10,121.77x = 13,967.98 × 5,645.58
4. Step 4: Simplify right side
   10,121.77x = 78,857,348.53
5. Step 5: Solve for x
   x = 78,857,348.53/10,121.77
6. Step 6: Final answer
   x = 7,790.87