Finding the Fourth Proportional to 10,181.75, 14,049.38 and 5,705.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,181.75 : 14,049.38 = 5,705.15 : x
2. Step 2: Convert to fraction form
   10,181.75/14,049.38 = 5,705.15/x
3. Step 3: Cross multiply
   10,181.75x = 14,049.38 × 5,705.15
4. Step 4: Simplify right side
   10,181.75x = 80,153,764.32
5. Step 5: Solve for x
   x = 80,153,764.32/10,181.75
6. Step 6: Final answer
   x = 7,872.30