Finding the Fourth Proportional to 10,414.30, 15,601.83 and 5,143.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.30 : 15,601.83 = 5,143.14 : x
2. Step 2: Convert to fraction form
   10,414.30/15,601.83 = 5,143.14/x
3. Step 3: Cross multiply
   10,414.30x = 15,601.83 × 5,143.14
4. Step 4: Simplify right side
   10,414.30x = 80,242,405.59
5. Step 5: Solve for x
   x = 80,242,405.59/10,414.30
6. Step 6: Final answer
   x = 7,705.02