Finding the Fourth Proportional to 10,538.09, 15,809.18 and 3,142.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538.09 : 15,809.18 = 3,142.38 : x
2. Step 2: Convert to fraction form
   10,538.09/15,809.18 = 3,142.38/x
3. Step 3: Cross multiply
   10,538.09x = 15,809.18 × 3,142.38
4. Step 4: Simplify right side
   10,538.09x = 49,678,435.34
5. Step 5: Solve for x
   x = 49,678,435.34/10,538.09
6. Step 6: Final answer
   x = 4,714.18