Finding the Fourth Proportional to 10,277.27, 14,181.83 and 5,801.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,277.27 : 14,181.83 = 5,801.46 : x
2. Step 2: Convert to fraction form
   10,277.27/14,181.83 = 5,801.46/x
3. Step 3: Cross multiply
   10,277.27x = 14,181.83 × 5,801.46
4. Step 4: Simplify right side
   10,277.27x = 82,275,290.46
5. Step 5: Solve for x
   x = 82,275,290.46/10,277.27
6. Step 6: Final answer
   x = 8,005.56