Finding the Fourth Proportional to 10,353.77, 14,288.22 and 5,638.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,353.77 : 14,288.22 = 5,638.07 : x
2. Step 2: Convert to fraction form
   10,353.77/14,288.22 = 5,638.07/x
3. Step 3: Cross multiply
   10,353.77x = 14,288.22 × 5,638.07
4. Step 4: Simplify right side
   10,353.77x = 80,557,984.54
5. Step 5: Solve for x
   x = 80,557,984.54/10,353.77
6. Step 6: Final answer
   x = 7,780.55