Finding the Fourth Proportional to 10,353.94, 14,288.47 and 5,638.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,353.94 : 14,288.47 = 5,638.25 : x
2. Step 2: Convert to fraction form
   10,353.94/14,288.47 = 5,638.25/x
3. Step 3: Cross multiply
   10,353.94x = 14,288.47 × 5,638.25
4. Step 4: Simplify right side
   10,353.94x = 80,561,987.60
5. Step 5: Solve for x
   x = 80,561,987.60/10,353.94
6. Step 6: Final answer
   x = 7,780.81