Finding the Fourth Proportional to 10,142.82, 15,199.64 and 4,291.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.82 : 15,199.64 = 4,291.38 : x
2. Step 2: Convert to fraction form
   10,142.82/15,199.64 = 4,291.38/x
3. Step 3: Cross multiply
   10,142.82x = 15,199.64 × 4,291.38
4. Step 4: Simplify right side
   10,142.82x = 65,227,431.10
5. Step 5: Solve for x
   x = 65,227,431.10/10,142.82
6. Step 6: Final answer
   x = 6,430.90