Finding the Fourth Proportional to 10,538.17, 15,809.83 and 3,142.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538.17 : 15,809.83 = 3,142.60 : x
2. Step 2: Convert to fraction form
   10,538.17/15,809.83 = 3,142.60/x
3. Step 3: Cross multiply
   10,538.17x = 15,809.83 × 3,142.60
4. Step 4: Simplify right side
   10,538.17x = 49,683,924.38
5. Step 5: Solve for x
   x = 49,683,924.38/10,538.17
6. Step 6: Final answer
   x = 4,714.66