Finding the Fourth Proportional to 10,353.72, 14,288.20 and 5,638.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,353.72 : 14,288.20 = 5,638.02 : x
2. Step 2: Convert to fraction form
   10,353.72/14,288.20 = 5,638.02/x
3. Step 3: Cross multiply
   10,353.72x = 14,288.20 × 5,638.02
4. Step 4: Simplify right side
   10,353.72x = 80,557,157.36
5. Step 5: Solve for x
   x = 80,557,157.36/10,353.72
6. Step 6: Final answer
   x = 7,780.50