Finding the Fourth Proportional to 10,353.75, 14,288.04 and 5,638.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,353.75 : 14,288.04 = 5,638.04 : x
2. Step 2: Convert to fraction form
   10,353.75/14,288.04 = 5,638.04/x
3. Step 3: Cross multiply
   10,353.75x = 14,288.04 × 5,638.04
4. Step 4: Simplify right side
   10,353.75x = 80,556,469.60
5. Step 5: Solve for x
   x = 80,556,469.60/10,353.75
6. Step 6: Final answer
   x = 7,780.41