Finding the Fourth Proportional to 10,128.29, 15,191.89 and 3,202.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,128.29 : 15,191.89 = 3,202.25 : x
2. Step 2: Convert to fraction form
   10,128.29/15,191.89 = 3,202.25/x
3. Step 3: Cross multiply
   10,128.29x = 15,191.89 × 3,202.25
4. Step 4: Simplify right side
   10,128.29x = 48,648,229.75
5. Step 5: Solve for x
   x = 48,648,229.75/10,128.29
6. Step 6: Final answer
   x = 4,803.20