Finding the Fourth Proportional to 10,353.88, 14,288.43 and 5,638.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,353.88 : 14,288.43 = 5,638.33 : x
2. Step 2: Convert to fraction form
   10,353.88/14,288.43 = 5,638.33/x
3. Step 3: Cross multiply
   10,353.88x = 14,288.43 × 5,638.33
4. Step 4: Simplify right side
   10,353.88x = 80,562,883.52
5. Step 5: Solve for x
   x = 80,562,883.52/10,353.88
6. Step 6: Final answer
   x = 7,780.94